Question

Some rectangles have an area of 36 cm². Let the variable W represent the width of these rectangles. Which expression represents the perimeters of these rectangles?

Answer 1

Answer:

The perimeter of the rectangle is expressed as; $P = \frac{72 \ + \ 2W^2}{W}$

Step-by-step explanation:

Given;

area of the rectangle, A = 36  cm²

width of the rectangle, = W

Let L represent the length of the rectangle,

A = L x W

$L = \frac{A}{W} = \frac{36}{W}$

The perimeter of the rectangle is calculated as;

P = 2(L + W)

Substitute the value of L into the above equation;

$P = 2(L + W)\\\\P = 2 (\frac{36}{W} + W)\\\\P = 2 (\frac{36 + W^2}{W} )\\\\P = \frac{72 \ + \ 2W^2}{W}$

Thus, the perimeter of the rectangle is expressed as $P = \frac{72 \ + \ 2W^2}{W}$