Question

The rectangle below has an area of x^2
-114square meters and a length of x+12metters

Answer 1

Given that,

The area of the rectangle,
`A=x^2-114`

Length of the rectangle,
`l=x+12\ m`

To find,

The width of the rectangle.

Solution,

The formula for the area of a rectangle is given by :

A = lb

b is width of the rectangle

`b=(A)/(l)\\\\b=(x^2-114)/(x+12)\\\\b=(x^2-12^2)/(x+12)\\\\b=((x-12)(x+12))/((x+12))\\\\=(x-12)\ m`

So, the width of the rectangle is (x-12) m.