Question

Write an expression during the distributive property to represent the perimeter of the rectangle. ( 2W + 2L= perimeter)

Answer 1

For this case we have that by definition, the perimeter of a rectangle is given by:

$P = 2w + 2l$

Where:

l: It is the length of the rectangle

w: It is the width of the rectangle

According to the image we have:

$w = m + 3\\l = m ^ 2 + 4$

So, rewriting the perimeter expression we have:

$P = 2 (m + 3) +2 (m ^ 2 + 4)$

Applying distributive property to the terms within parentheses we have:

$P = 2m + 6 + 2m ^ 2 + 8\\P = 2m ^ 2 + 2m + 14$

Answer:

The perimeter of the rectangle is: $P = 2m ^ 2 + 2m + 14$