The ratio of the perimeters of two rectangles is 5 to 8 . the perimeter of the larger rectangle is 72 inches. what is the perimeter of the smallest triangle?

ANSWER

45 inches.

EXPLANATION

Let the perimeter of the smaller rectangle be x.

Then, the ratio of the perimeter of the smaller rectangle to the larger rectangle is

We change the ratio to fraction to obtain,

Multiply both sides by 72.

The perimeter of the smaller rectangle is 45 inches.

45 inches

Step-by-step explanation:

The 72 inches is 8 parts of the ratio, hence

= 9 inches ← 1 part of the ratio

5 parts = 5 × 9 = 45 inches ← smaller perimeter

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