A rectangle has a perimeter of 25 meters. If the lengths of the sides of the rectangle are multiplied by 7 to make a new rectangle, what is the perimeter of the new rectangle?

175 m

Step-by-step explanation:

We are given;

The perimeter of a rectangle as 25 m

We are required to determine the new perimeter if the sides of the rectangle are multiplied by 7.

We know that;

Perimeter of a rectangle = 2 (L+W)

Therefore, initially;

2 (L+W) = 25 m

Hence;

L + W = 12.5 m

if the sides are multiplied by 7, then;

New length = 7L

New Width = 7W

Thus;

New perimeter = 2 (7L+7W)

= 14 (L + W)

but, L + W = 12.5

Thus;

New perimeter = 14 (12.5)

= 175 m

Therefore, the new perimeter will be 175 m