HELP 15 POINTS

The length of a rectangle is l and the width of the rectangle is w.

Which statement explains why the perimeter of the rectangle can be found using l + w + l + w or 2l + 2w?

A. The perimeter of a rectangle is the sum of its length and width.

B. The perimeter of a rectangle is the sum of the lengths of its four sides, which are each 2l and 2w.

C. The perimeter of any figure with four or more sides is the sum of all of its sides or the sum of twice the lengths of opposite sides.

D. The perimeter of a rectangle is the sum of all four sides of the rectangle. Two sides have length l, and two sides have length w. The perimeter of a rectangle is the sum of twice l and twice w.

Answer: D. The perimeter of a rectangle is the sum of all four sides of the rectangle. Two sides have length l, and two sides have length w. The perimeter of a rectangle is the sum of twice l and twice w.

Step-by-step explanation:

The perimeter of any polygon is the sum of its sides.

A rectangle is a polygon having four sides such that the opposite sides are equal. One pair describe its length (l) and other pair describe its width (w).

So, Two sides have length l, and two sides have length w.

i.e. Perimeter = l+w+l+w

= l+l+w+w=2l+2w

Hence, the correct statement explains why the perimeter of the rectangle can be found using l + w + l + w or 2l + 2w is "The perimeter of a rectangle is the sum of all four sides of the rectangle. Two sides have length l, and two sides have length w. The perimeter of a rectangle is the sum of twice l and twice w."