Question

A rectangular pool has an area of `750` `ft^2`. The length is 16 feet longer than the width. What are the dimensions of the pool?

Answer 1

`"Dimensions of the pool ' l = 36.53', w = 20.53'`

Explanation:

Given ; `l = w + 16, A = 750 sq.ft.`

`"Area of rectangle " A = l * w = (w + 16) * w`

`w^2 + 16w = 750`

`w^2 + 16w - 750 = 0`

`w = (-16 +- sqrt(16^2 - 4 * (-750))) / 2`

`w = (-16 +- sqrt 3256)/ 2 = -8 +- sqrt 814 = -8 +- 28.53`

`w = 20.53, cancel(- 36.53) " invalid"`

`w = 20.53', l = 20.53 + 16 = 36.53'`