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

Area of the rectangle is given by:

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) = square meters

length of the rectangle(l) = x+8

Substitute these in the given formula we have;

or

Divide both sides by x+8 we have;

meters.

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

Explanation:

Answer 2

Area of the rectangle is given by:

`A = l * 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) * w`

`x^2-9x+8x-72 = (x+8) * w`

`x(x-9)+8(x-9)= (x+8) * w`

or

`(x+8)(x-9)= (x+8) * 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