Question

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 1

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

$x:72=5:8$

We change the ratio to fraction to obtain,

$\frac{x}{72} = \frac{5}{8}$

Multiply both sides by 72.

$x = \frac{5}{8} \times 72$

$x = 5 \times 9 = 45$

The perimeter of the smaller rectangle is 45 inches.

Answer 2

Answer:

45 inches

Step-by-step explanation:

The 72 inches is 8 parts of the ratio, hence

$\frac{72}{8}$ = 9 inches ← 1 part of the ratio

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