Question

The area of a rectangle is 84 cm and the length is 5 more than the width. Find the length and width

Answer 1

Explanation:

Area = length x width

let x represent the width of the rectangle

`84 = x * (x + 5)`

`0 = {x}^(2) + 5x - 84`

`0 = (x - 7)(x + 12)`

therefore

`x = 7 \: \: or \: - 12`

however since length cannot be negative, the width is 7.

width = 7

length = 7+5

= 12