Area of Similar Figures

Geometry Name___________________________________

Area of Similar Figures Date________________ Period____

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What is the ratio of their areas?
1) Two similar figures are in a ratio of 2:5.
What is the ratio of their areas?

A) 1.4:2.1 B) 8:125 A) 27:64 B) 3:4
C) 2:5 D) 4:25
C) 9:16 D) 1.7:2

3) Two similar figures are in a ratio of 1:3. 4) Two similar figures are in a ratio of 4:7.
What is the ratio of their areas? What is the ratio of their areas?

A) 2:9 B) 1:1.7 A) 2:2.6 B) 16:49
C) 1:9 D) 1:27 C) 4:7 D) 64:343

5) The corresponding sides of two similar 6) The corresponding sides of two similar
figures are 10 and 25. What is the ratio of figures are 8 and 12. What is the ratio of
their areas? their areas?

A) 100:625 B) 64:125 A) 8:12 B) 2:3
C) 4:25 D) 3.16:5 C) 2.8:3.46 D) 4:9

7) The areas of two similar figures are in a 8) The areas of two similar figures are in a
ratio of 16:25. What is the ratio of their ratio of 4:9. What is the ratio of their
sides? sides?

A) 256:625 B) 4:5 A) 64:729 B) 16:81
C) 2:2.23 D) 16:25 C) 4:9 D) 2:3

9) The areas of two similar polygons are 100 10) The areas of two similar triangles are 120
cm2 and 49 cm2. What is the ratio of their cm2 and 270 cm2. What is the ratio of
sides? their sides?

A) 10,000:2401 B) 10:7 or 7:10 A) 3.46:5.2 B) 4:9
C) 3.16:2.64 D) 100:49 C) 12:27 D) 2:3

Find the requested amount. Show your proportion and any cross-multiplying or other work.

11) The sides of two similar hexagons are in a ratio of 4:7. The area of the smaller hexagon is 48 in2. Find the
area of the larger hexagon.

12) The sides of two similar trapezoids are in a ratio of 1:3. The area of the smaller trapezoid is 12 in2. Find the
area of the larger hexagon.

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13) The sides of two similar trapezoids are in a ratio of 5:6. The area of the larger trapezoid is 108 yd 2. Find the
area of the smaller trapezoid.

14) The sides of two similar pentagons are in a ratio of 2:7. The area of the larger pentagon is 98 in2. Find the
area of the larger pentagon.

15) The areas of two similar hexagons are in a ratio of 16:25. One area of the smaller hexagon is 24 cm. Find the
corresponding side of the larger hexagon.

16) The areas of two similar parallelogram are in a ratio of 4:49. One side of the smaller parallelogram is 16 ft.
Find the corresponding side of the larger parallelogram.

17) The areas of two similar parallelogram are in a ratio of 9:25. One side of the larger parallelogram is 50 yd.
Find the corresponding side of the smaller parallelogram.

18) The areas of two similar parallelogram are in a ratio of 1:4. One side of the larger parallelogram is 28 yd.
Find the corresponding side of the smaller parallelogram.

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Answers to Area of Similar Figures

1) D 2) C 3) C 4) B
8) D
5) C 6) D 7) B

9) B 10) D

11) The dot next to the choice indicates that it is the answer.

12) The dot next to the choice indicates that it is the answer.

13) The dot next to the choice indicates that it is the answer.

14) The dot next to the choice indicates that it is the answer.

15) The dot next to the choice indicates that it is the answer.

16) The dot next to the choice indicates that it is the answer.

17) The dot next to the choice indicates that it is the answer.

18) The dot next to the choice indicates that it is the answer.

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