Title: (Canvas-Quiz)G10_Area
Course: HBUHSD Geometry Resource Course > Section: Unit 6: Measurement Applications in 2- and 3-Dimensions

Q: Find the area. The figure is not drawn to scale.
A: (a choice with no text)

Q: Find the area. The figure is not drawn to scale.
- 1188 in.^2
- 69 in.^2
- 138 in.^2
- 1440 in.^2
A: 1188 in.^2

Q: Find the area. The figure is not drawn to scale.
- 30 yd^2
- 6.5 yd^2
- 13 yd^2
- 15 yd^2
A: 15 yd^2

Q: Find the area. The figure is not drawn to scale.
- 4.4 cm^2
- 6.4 cm^2
- 8.8 cm^2
- 17.6 cm^2
A: 4.4 cm^2

Q: Find the area. The figure is not drawn to scale.
- 188 in.^2
- 278 in.^2
- 322 in.^2
- none of these
A: 278 in.^2

Q: Find the area. The figure is not drawn to scale.
- 144.5 cm^2
- 127 cm^2
- 172 cm^2
- 50 cm^2
A: 144.5 cm^2

Q: A parallelogram has sides measuring 23.8 m and 35.3 m. The height corresponding to the 23.8-m base is 9.9 m. Find the height, to the nearest tenth of a meter, corresponding to the 35.3-m base.
- 8317.4 m
- 14.7 m
- 6.7 m
- none of these
A: 6.7 m

Q: The area of a parallelogram is 280 cm^2 and the height is 35 cm. Find the corresponding base.
- 315 cm
- 245 cm
- 9,800 cm^2
- 8 cm
A: 8 cm

Q: Find the area of a parallelogram with the given vertices.

P(1, 3), Q(3, 3), R(7, 8), S(9, 8)
- 10 units^2
- 5 units^2
- 20 units^2
- none of these
A: 10 units^2

Q: Find the area of a parallelogram with the given vertices.

P(–2, –5), Q(9, –5), R(1, 5), S(12, 5)
- 110 units^2
- 55 units^2
- 220 units^2
- none of these
A: 110 units^2

Q: Find the area of a polygon with the vertices of (–4, 5), (–1, 5), (4, –3), and (–4, –3).
- 176 units^2
- 7 units^2
- 44 units^2
- 88 units^2
A: 44 units^2

Q: What is the height h of the parallelogram?

Not drawn to scale
- 32
- 28
- 40.5
- 35
A: 32

Q: An isosceles triangle has area of 125 ft^2. If the base is 16 ft, what is the length of each leg? Round your answer to the nearest tenth.
- 22.4 ft
- 17.6 ft
- 15.8 ft
- 500.1 ft
A: 17.6 ft

Q: Find the area of an equilateral triangle with a side of 10.
- units^2
- 25 units^2
- 50 units^2
- units^2
A: units^2

Q: When designing a building, you must be sure that the building can withstand hurricane-force winds, which have a velocity of 74 mi/h or more. The formula gives the force F in pounds exerted by a wind blowing against a flat surface. A is the area of the surface in square feet, and v is the wind velocity in miles per hour. How much force is exerted by a wind blowing at 85 mi/h against the side of the building shown?
- about 53 tons
- about 10,549 tons
- about 5 tons
- about 23 tons
A: about 5 tons

Q: In trapezoid PQRS, . Find the area of PQRS. Leave your answer in simplest radical form.

Not drawn to scale
- units^2
- units^2
- units^2
- units^2
A: units^2

Q: Find the area of the trapezoid. Leave your answer in simplest radical form.
- 31.5 cm^2
- 7 cm^2
- 81 cm^2
- 94.5 cm^2
A: 94.5 cm^2

Q: Find the area of the trapezoid. Leave your answer in simplest radical form.
- 77.2 in.^2
- 80 in.^2
- 75 in.^2
- 70 in.^2
A: 70 in.^2

Q: Find the area of the trapezoid. Leave your answer in simplest radical form.

Not drawn to scale
- 607.32 in.^2
- 36.7 in.^2
- 303.66 in.^2
- 77.2 in.^2
A: 303.66 in.^2

Q: Find the area of the trapezoid. Leave your answer in simplest radical form.
- ft^2
- ft^2
- ft^2
- ft^2
A: ft^2

Q: Find the area of the trapezoid. Leave your answer in simplest radical form.
- 78 ft^2
- 78 ft^2
- 13 ft^2
- 156 ft^2
A: 78 ft^2

Q: What is the area of the kite?

Not drawn to scale
- 11 ft^2
- 72 ft^2
- 36 ft^2
- 44 ft^2
A: 36 ft^2

Q: A kite has diagonals 5.8 ft and 6 ft. What is the area of the kite?
- 5.9 ft^2
- 23.6 ft^2
- 34.8 ft^2
- 17.4 ft^2
A: 17.4 ft^2

Q: Find the area of the rhombus. Leave your answer in simplest radical form.
- units^2
- units^2
- units^2
- units^2
A: units^2

Q: Find the area of the rhombus.
- 6561 m^2
- 162 m^2
- 13.5 m^2
- 40.5 m^2
A: 162 m^2

Q: Given the regular hexagon, find the measure of each numbered angle.
A: (a choice with no text)

Q: Given a regular octagon, find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of the polygon.
- 72°; 252°
- 36°; 216°
- 45°; 67.5°
- 40°; 230°
A: 45°; 67.5°

Q: Given the regular polygon, find the measure of each numbered angle.
A: (a choice with no text)

Q: The area of a regular hexagon is 50 in.^2 Find the length of a side. Round your answer to the nearest tenth.
- 19.2 in.
- 4.4 in.
- 7.6 in.
- 5.8 in.
A: 4.4 in.

Q: Find the area of a regular hexagon with an apothem 17.3 miles long and a side 20 miles long. Round your answer to the nearest tenth.
- 173.2 mi^2
- 2078.5 mi^2
- 692.8 mi^2
- 1038 mi^2
A: 1038 mi^2

Q: You are planning to use a ceramic tile design in your new bathroom. The tiles are blue-and-white equilateral triangles. You decide to arrange the blue tiles in a hexagonal shape as shown. If the side of each tile measures 4 centimeters, what will be the exact area of each hexagonal shape?
- 12 cm^2
- 192 cm^2
- 32 cm^2
- 24 cm^2
A: 24 cm^2

Q: Find the area of a regular hexagon with side length of 10 m. Round your answer to the nearest tenth.
- 450 m^2
- 129.9 m^2
- 86.6 m^2
- 259.8 m^2
A: 259.8 m^2

Q: Find the area of the regular polygon. Round your answer to the nearest tenth.
- 176.6 in.^2
- 966.1 in.^2
- 80.0 in.^2
- 483.0 in.^2
A: 483.0 in.^2

Q: Find the area of an equilateral triangle with radius 2 m. Leave your answer in simplest radical form.
- m^2
- m^2
- m^2
- m^2
A: m^2

Q: A regular hexagon has a perimeter of 120 m. Find its area. Leave your answer in simplest radical form.
- m^2
- m^2
- m^2
- m^2
A: m^2

Q: The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.
- and
- and
- and
- and
A: and

Q: The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.
- 4 : 7 and 16 : 49
- 5 : 8 and 16 : 49
- 4 : 7 and 25 : 64
- 5 : 8 and 25 : 64
A: 4 : 7 and 16 : 49

Q: The widths of two similar rectangles are 21 ft and 18 ft. What is the ratio of the perimeters? Of the areas?
- 8 : 7 and 64 : 49
- 8 : 7 and 49 : 36
- 7 : 6 and 64 : 49
- 7 : 6 and 49 : 36
A: 7 : 6 and 49 : 36

Q: Find the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle.

Not drawn to scale
A: (a choice with no text)

Q: The trapezoids are similar. The area of the smaller trapezoid is 709 m^. Find the area of the larger trapezoid to the nearest whole number.
- 11 m^
- 1479 m^
- 729 m^
- 1521 m^
A: 1479 m^

Q: The area of a regular octagon is 35 cm^. What is the area of a regular octagon with sides five times as long?
- 625 cm^
- 875 cm^
- 175 cm^
- 245 cm^
A: 875 cm^

Q: The triangles are similar. The area of the larger triangle is 563 ft^. Find the area of the smaller triangle to the nearest whole number.
- 431 ft^
- 576 ft^
- 735 ft^
- 441 ft^
A: 431 ft^

Q: It costs a family $324 to buy a 10-ft-by-12-ft rug. At this rate, what will it cost them to buy a 15-ft-by-18-ft rug?
- $729
- $270
- $388.80
- $466.56
A: $729

Q: A rectangular napkin costs $3.25. A similar tablecloth is five times longer and five times wider. How much would you expect to pay for the tablecloth?
- $81.25
- $48.75
- $16.25
- $32.50
A: $81.25

Q: Hiram raises earthworms. In a square of compost 4 ft by 4 ft, he can have 1000 earthworms. How many earthworms can he have if his square of compost has a side length that is 8 times longer?
- 8000
- 64,000
- 256,000
- 32,000
A: 64,000

Q: Find the similarity ratio and the ratio of perimeters for two regular pentagons with areas of ^ and ^.
A: (a choice with no text)

Q: Two trapezoids have areas of 432 cm^ and 48 cm^. Find their ratio of similarity.
- 3 : 1
- 9 : 1
- 1 : 3
- 1 : 9
A: 3 : 1

Q: Find the similarity ratio and the ratio of perimeters for two regular octagons with areas of ^ and ^
- 3 : 5; 3: 5
- 9 : 25; 3 : 5
- 3 : 5; 9 : 25
- 9 : 25; 9 : 25
A: 3 : 5; 3: 5

Q: Find the area of the regular polygon. Give the answer to the nearest tenth.

decagon with a side of 4 cm
- 123.1 cm^
- 129.4 cm^
- 246.2 cm^
- 139.8 cm^
A: 123.1 cm^

Q: Find the area of the regular polygon. Give the answer to the nearest tenth.

dodecagon with a perimeter of 108 cm
- 1813.8 cm^
- 906.9 cm^
- 923.6 cm^
- 938.9 cm^
A: 906.9 cm^

Q: Find the area of the regular polygon. Give the answer to the nearest tenth.

pentagon with a side of 6 ft
- 49.5 ft^
- 61.9 ft^
- 123.9 ft^
- 12.4 ft^
A: 61.9 ft^

Q: Find the area of the regular polygon. Give the answer to the nearest tenth.

hexagon with a side of 6 in.
- 9 in.^
- 31.2 in.^
- 93.5 in.^
- 187.1 in.^
A: 93.5 in.^

Q: Find the area of the regular polygon. Give the answer to the nearest tenth.

pentagon with a radius of 8 cm
- 152.2 cm^
- 154.2 cm^
- 30.4 cm^
- 304.3 cm^
A: 152.2 cm^

Q: Find the area of the regular polygon. Give the answer to the nearest tenth.

square with a radius of 13 ft
- 676 ft^
- 169 ft^
- 338 ft^
- 343 ft^
A: 338 ft^

Q: Find the area of the regular polygon. Give the answer to the nearest tenth.

hexagon with a radius of 5 in.
- 259.8 in.^
- 129.9 in.^
- 65.0 in.^
- 53.0 in.^
A: 65.0 in.^

Q: The Ruffs are planning to buy an above-ground swimming pool shaped as a regular octagon. The radius of the octagon is 9 feet. To the nearest tenth, find the area of the surface of the water in the pool.
- 458.2 ft^
- 553.1 ft^
- 94.8 ft^
- 229.1 ft^
A: 229.1 ft^

Q: A park in a subdivision is triangular-shaped. Two adjacent sides of the park are 581 feet and 540 feet. The angle between the sides is 83. To the nearest unit, find the area of the park in square yards.
- 51,900 yd^
- 34,600 yd^
- 17,300 yd^
- 38,925 yd^
A: 17,300 yd^

Q: Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35. To the nearest hundredth, find the search area.
- 2.08 mi^
- 2.97 mi^
- 1.04 mi^
- 1.49 mi^
A: 1.04 mi^

Q: Two triangles each have adjacent sides of length 120 feet and 180 feet. The first triangle has an angle between the two sides of 40, while the second triangle has an angle between the two sides of 60. What is the approximate difference between the areas of the two triangles?
- 4822 ft^
- 2873 ft^
- 5746 ft^
- 2411 ft^
A: 2411 ft^

Q: Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.
- 10.5 m^
- 9.8 m^
- 19.6 m^
- 21.0 m^
A: 10.5 m^

Q: Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.
- 126.9 cm^
- 63.4 cm^
- 23.1 cm^
- 185.5 cm^
A: 63.4 cm^

Q: A gardener needs to cultivate a triangular plot of land. One angle of the garden is 47, and two sides adjacent to the angle are 77 feet and 76 feet. To the nearest tenth, what is the area of the plot of land?
- 2163.5 ft^
- 2139.9 ft^
- 4279.9 ft^
- 1995.5 ft^
A: 2139.9 ft^

Q: What are the minor arcs of ?
A: (a choice with no text)

Q: What are the major arcs of that contain point B?
A: (a choice with no text)

Q: Identify a semicircle that contains C.
A: (a choice with no text)

Q: Name the major arc and find its measure.
- ; 50
- ; 50
- ; 310
- ; 310
A: ; 310

Q: Find the measure of .
The figure is not drawn to scale.
- 188
- 182
- 162
- 172
A: 172

Q: Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are shown in the circle graph below. Find the measure of each central angle in the circle graph.
a. sleeping
b. eating
- 118.8; 28.8
- 108; 28.8
- 118.8; 288
- 59.4; 288
A: 118.8; 28.8

Q: Name the minor arc and find its measure.
- ; 30
- ; 115
- ; 245
- ; 245
A: ; 115

Q: Find the circumference. Leave your answer in terms of .
- cm
- cm
- cm
- cm
A: cm

Q: Find the circumference. Leave your answer in terms of .
- in.
- in.
- in.
- in.
A: in.

Q: The circumference of a circle is 64 cm. Find the diameter, the radius, and the length of an arc of 190°.
- 32 cm; 64 cm; 16.9 cm
- 64 cm; 32 cm; 33.8 cm
- 128 cm; 32 cm; 185 cm
- 64 cm; 128 cm; 16.9 cm
A: 64 cm; 32 cm; 33.8 cm

Q: Find the length of . Leave your answer in terms of .
- 30 m
- 15 m
- 5 m
- 900 m
A: 15 m

Q: The figure represents the overhead view of a deck surrounding a hot tub. What is the area of the deck? Round to the nearest tenth.
- 75.4 m^2
- 52.5 m^2
- 278.7 m^2
- 22.9 m^2
A: 52.5 m^2

Q: Find the area of the circle. Leave your answer in terms of .
- 9.68 m^2
- 4.84 m^2
- 1.1 m^2
- 10.65 m^2
A: 4.84 m^2

Q: Find the area of the circle. Leave your answer in terms of .
- 4.2025 m^2
- 8.405 m^2
- 16.81 m^2
- 11.2 m^2
A: 4.2025 m^2

Q: Find the area of the shaded portion of the figure. Dimensions are in feet. Leave your answer in terms of p. The figure is not drawn to scale.
- none of these
A: (a choice with no text)

Q: A team in science class placed a chalk mark on the side of a wheel and rolled the wheel in a straight line until the chalk mark returned to the same position. The team then measured the distance the wheel had rolled and found it to be 25 cm. To the nearest tenth, what is the area of the wheel?
- 99.5 cm^2
- 19.6 cm^2
- 198.9 cm^2
- 49.7 cm^2
A: 49.7 cm^2

Q: A 4-ft-by-5-ft dock is anchored in the middle of a lake. The bow of a boat is tied to a corner of the dock with a 5-ft rope as shown in the picture. Find the area of the region in which the bow of the boat can travel. Round your answer to the nearest square foot.

Not drawn to scale
- 60 ft^2
- 58 ft^2
- 81 ft^2
- none of these
A: 60 ft^2

Q: Find the area of the figure to the nearest tenth.
- 70.6 in.^2
- 22.5 in.^2
- 141.1 in.^2
- 10.1 in.^2
A: 70.6 in.^2

Q: Find the area of the shaded portion of the figure. Each vertex of square ABCD is at the center of a circle. Leave your answer in terms of .
- () in.^2
- in.^2
- in.^2
- in.^2
A: () in.^2

Q: Find the area of a sector with a central angle of 170° and a diameter of 9.1 cm. Round to the nearest tenth.
- 122.9 cm^2
- 30.7 cm^2
- 8.6 cm^2
- 3.4 cm^2
A: 30.7 cm^2

Q: The area of sector AOB is . Find the exact area of the shaded region.
- none of these
A: (a choice with no text)

Q: Find the area of the shaded region. Leave your answer in terms of and in simplest radical form.
- none of these
A: (a choice with no text)

Q: Find the exact area of the shaded region.
- none of these
A: (a choice with no text)

Q: Find the probability that a point chosen at random from is on the segment .
A: (a choice with no text)

Q: Find the probability that a point chosen at random from is on the segment .
A: (a choice with no text)

Q: Lenny’s favorite radio station has this hourly schedule: news 15 min, commercials 2 min, music 43 min. If Lenny chooses a time of day at random to turn on the radio to his favorite station, what is the probability that he will hear the news?
A: (a choice with no text)

Q: The delivery van arrives at an office every day between 3 PM and 5 PM. The office doors were locked between 3:15 PM and 3:35 PM. What is the probability that the doors were unlocked when the delivery van arrived?
A: (a choice with no text)

Q: What is the probability that a point chosen at random on the grid will lie in the unshaded region?
A: (a choice with no text)

Q: Find the probability that a point chosen at random will lie in the shaded area.
- 0.83
- 0.12
- 0.52
- 0.32
A: 0.32

Q: A fly lands at random at a point on the grid. Find the probability of the fly landing on the figure.
A: (a choice with no text)

Q: A circular dartboard has a radius of 2 meters and a red circle in the center. Assume you hit the target at a random point. For what radius of the red center region does P(hitting red) = 0.6?
- 77 m
- 1.2 m
- 1.55 cm
- 1.32 m
A: 1.55 cm

Q: The radius of the bull’s-eye of the dartboard is 8 inches. The radius of each concentric circle is 8 inches more than the radius of the circle inside it. If a dart lands at random on the dartboard, what is the probability that the dart will hit in area C?
A: (a choice with no text)