Question

how do the perimeters compare? original 14 cm 8 cm p = 44 cm scaled 56 cm 32 cm p = 176 cm the scaled rectangles perimeter is 4 times longer than the original rectangles perimeter. the scaled rectangles perimeter is 1/4 the length of the original rectangles perimeter.

Explanation:

Step1: Identify perimeters

Original perimeter $P_1 = 44$ cm, scaled - perimeter $P_2=176$ cm.

Step2: Calculate ratio

Find the ratio $\frac{P_2}{P_1}=\frac{176}{44}=4$.

Answer:

The scaled rectangle's perimeter is 4 times longer than the original rectangle's perimeter.