The length of a car park is 12m longer than its with. The area of the car park is 64m². Find the dimensions of the car park?

2 answers

L = W + 12

A = L ∙ W = 64

( W + 12 ) ∙ W = 64

W² + 12 W = 64

Subtract 64 to both sides

W² + 12 W - 64 = 0

Try to solve this equation.

The solutions are:

W = - 16 and W = 4

Width can not be negative so W = 4 m

L = W + 12 = 4 + 12 = 16 m

A = L ∙ W = 16 ∙ 4 = 64 m²

W =
This is true if a car park is rectangular.