Question

The rectangle shown is enlarged such that each side is multiplied by the value of the width, 3x. Write the expression that would represent the perimeter of the enlarged rectangle.

Answer 1

The expression that represents the perimeter of the enlarged rectangle is 2(3xL) + 2(3xW).

Step-by-step explanation:

The expression that represents the perimeter of the enlarged rectangle can be found by multiplying each side length of the original rectangle by the value of the width, 3x.

Let's say the original rectangle has length L and width W. The perimeter of the original rectangle would be 2L + 2W.

When we enlarge the rectangle by multiplying each side by 3x, the length becomes 3xL and the width becomes 3xW. Therefore, the expression that represents the perimeter of the enlarged rectangle is 2(3xL) + 2(3xW).