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Study Guide Area, Similar Figures, & Scale Drawing

Total questions: 12

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

The diagram below models the length from the center of a wind turbine to the tip of one of its blades. Which of these is closest to the total area covered by the blade when the turbine makes 1 revolution?

a)

3,215 meters squared

b)

100 meters squared

c)

1024 meters squared

d)

201 meters squared

2.

Triangle QRS and triangle QTV are similar. Which equation must be true?

a)
b)
c)
d)
3.

A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the circumference of the circle in meters?

a)

34.54 m

b)

1,519.76 m

c)

379.94 m

d)

69.08 m

4.

A company's logo was designed using circles. The diameter of one of the circles is shown. Which measurement is closest to the area of the largest circle in square centimeters?

a)

200.96 squared centimeters

b)

1,808.64 squared centimeters

c)

452.16 squared centimeters

d)

803.84

5.

What is the best estimate of the area in square feet of the shaded region?

a)

630 square feet

b)

483 square feet

c)

336 square feet

d)

546 square feet

6.

Erin created a scale drawing of the White House in history class. In the scale drawing, the length of the White House is 16 inches. The length of the actual White House is 128 feet. Which scale did Erin use to create the scale drawing of the White House?

a)

1 inch represents 1/8 foot

b)

8 inches represents 1 foot

c)

1 inch represents 8 feet

d)

8 inches represents 1/8 foot

7.

What is the area of the figure?

a)

153.5 square yards

b)

240.5 square yards

c)

126.5 square yards

d)

196.5 square yards

8.

On Etsy, a circular rug has a diameter of 92 cm. Which measurement is closest to the circumference of the rug in centimeters?

a)

6,644.24 centimeters

b)

26576.96 centimeters

c)

577.76 centimeters

d)

288.88 centimeters

9.

What is the value of j in centimeters? What is the value of k in centimeters?

a)

3 cm; 7 cm

b)

6 cm; 10 cm

c)

9 cm: 13 cm

d)

12 cm; 16 cm

10.

What is the area in square inches?

a)

90.25 square inches

b)

56.25 square inches

c)

146.50 square inches

d)

34 square inches

11.

The radius of the pizza is 9 in. What is the circumference of the pizza?

a)

28.26 inches

b)

254.34 inches

c)

63.585 inches

d)

56.52 inches

12.

An architect built a scale model of a building using a scale in which 3 inches represents 45 feet. The height of the building is 270 feet. What is the height of the building in inches?

a)

18 in

b)

228 in

c)

4050 in

d)

123 in