Area and Perimeter Ratios

The figures are similar. If the perimeter of the larger rectangle is 33.2 inches, what is the perimeter of the smaller rectangle?

• 19.36

• 17.6

• 68.89

• 8.8

What is the ratio of the perimeters of two similar figures?

• Ratio of corresponding side lengths

• Ratio of volumes.

• Ratio of areas.

• Ratio of corresponding angles.

The triangles are similar and the perimeter of SRT = 15. What is the scale factor between the two?

• ⅘

• ⅚

• ½

• ¾

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

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

Tags

CCSS.HSG.SRT.A.2

True or False: If two figures are similar, the ratio of their corresponding sides is equivalent to the ratio of their perimeters.

• True

• False

An NBA basketball court (rectangle) is similar to an elementary school basketball court. The sideline of the NBA court  is 94 feet, and the sideline of the elementary court is 84.6 feet. The NBA court has a perimeter of 288 ft. Find the perimeter of the elementary court.

• 288 feet

• 5802 feet

• 259 feet

• 275 feet

If two triangles are similar, how are their perimeters related?

• The perimeters are equal.

• The perimeters are proportional to the scale factor between the triangles.

• The perimeters are not related.

• The perimeters are inversely proportional to the scale factor between the triangles.