Question

Find the values of the ratios

(red to blue) of the
perimeters and areas of the
similar figures. Write the
ratios as fractions in
simplest form.
5
8
The ratio of the perimeters is
The ratio of the areas is

Answer 1

• perimeter: 5/8
• area: 25/64

Explanation:

You want the ratios (red to blue), of perimeter and area, given that corresponding sides have the ratio red to blue = 5 to 8.

Perimeter ratio

The ratio of perimeters is the ratio of corresponding side lengths:

red to blue = 5 / 8

Area ratio

The ratio of areas is the square of the ratio of corresponding side lengths:

red to blue = (5 to 8)² = 25 / 64

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Additional comment

Ratios are customarily expressed in any of three equivalent forms:

• 5 to 8
• 5:8
• 5/8 "fraction" form