Question

The ratio of one side of ΔABC to the corresponding side of similar ΔDEF is 3:5. The perimeter of ΔDEF is 48 inches. What is the perimeter of ΔABC?

Answer 1

28.8 inches

Explanation:

We solve the above question using Proportion

The ratio of one side of ΔABC to the corresponding side of similar ΔDEF is 3:5.

ΔABC/ΔDEF = 3/5

Hence,

The perimeter of ΔDEF is 48 inches.

Let the perimeter of ΔABC = x inches

3/5 = x/48

Cross Multiply

5x = 48 × 3

x = 48 × 3/5

x = 28.8 inches

The perimeter of ΔABC is 28.8 inches