Perimeter and Area Ratios

Two hexagons are similar with a ratio of similitude of 4/5. If the area of the first (larger) hexagon is 20, what is the area of the second (smaller) hexagon?

• 10.24

• 12.8

• 16

• 25

Find the ratio (red to blue) of the area.

• 11/6

• 6/11

• 121/36

• 36/121

Find the ratio (red to blue) of the perimeter.

• 9/14

• 14/9

• 196/81

• 81/196

A rectangle is drawn.  Then another rectangle is drawn so that the sides are twice as big as the first rectangle. What happens to the area?

• doubles

• triples

• quadruples

• not enough information

How are the side lengths in two similar figures related?

• Exactly the same

• Multiplied by a factor of k

• Multiplied by a factor of k²

• Multiplied by a factor of k³

Find the ratio (blue to red) of the perimeter.

• 64/25

• 25/64

• 5/8

• 8/5

ΔABC is similar to ΔDEF. The ratio of the length of AB to the length of DE is 3:1. Which ratio is also equal to 3:1?

• m<A: m<D

• m<B:m<F

• area ΔABC: area ΔDEF

• perimeter ΔABC:perimeter ΔDEF

The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. (Select all that apply.)

The triangles are similar and the perimeter of SRT = 15. What is the perimeter of WZX??

• 12

• 12.5

• 13

• 15

The two gazebos shown are similar pentagons. Find the perimeter of Gazebo A. Write answer like P = # m