Question

if the side lengths are tripled, then which of the following will be true? the new perimeter will be 3 times the old perimeter. the new perimeter will be 1/2 of the old perimeter. 6 m

Explanation:

Step1: Recall perimeter formula for square

For a square with side - length $s$, the perimeter $P = 4s$. The original side - length of the square is $s = 6$m, so the original perimeter $P_1=4\times6 = 24$m.

Step2: Calculate new side - length

If the side - lengths are tripled, the new side - length $s_2=3\times6 = 18$m.

Step3: Calculate new perimeter

The new perimeter $P_2 = 4\times18=72$m.

Step4: Compare new and old perimeters

We find the ratio of the new perimeter to the old perimeter: $\frac{P_2}{P_1}=\frac{72}{24}=3$. So the new perimeter is 3 times the old perimeter.

Answer:

The new perimeter will be 3 times the old perimeter.