Question

A swimming pool has an area of 2x² + 5x - 12. If the width of the swimming

pool is (x + 4), what is the length of the swimming pool?

Answer 1

2x - 3

Explanation:

The are of a rectangle is computed using the formula:

A = L x W

The area given is:

2x² + 5x -12

So:

2x² + 5x -12 = L x (x + 4)

`L=(2x^(2)+5x-12)/(x+4)\\\\`

So we can solve this through division:

2x - 3

x + 4 | 2x² + 5x - 12

- 2x² + 8x

-3x - 12

- -3x - 12

0