Question

The rectangle below has an area of x^2-x-72x 2 ?x?72 square meters and a length of x+8x+8 meters. What expression represents the width of the rectangle?

Answer 1

Answer:

Area of the rectangle is given by:

$A = l \times w$

where

A is the area of the rectangle

l is the length of the rectangle

w is the width of the rectangle respectively.

As per the given statement:

Area of the rectangle(A) =  $x^2-x-72$ square meters

length of the rectangle(l) = x+8

Substitute these in the given formula we have;

$x^2-x-72 = (x+8) \times w$

$x^2-9x+8x-72 = (x+8) \times w$

$x(x-9)+8(x-9)= (x+8) \times w$

or

$(x+8)(x-9)= (x+8) \times w$

Divide both sides by x+8 we have;

$w = (x-9)$ meters.

Therefore, the expression represents the width of the rectangle is x-9 meters