Question

A rectangular garden has an area of 360 square feet.

The length of the garden is 9 feet longer than the
width. Find the dimensions of the garden in feet.
24 ft by 15 ft
24 ft by 15 ft or -24 ft by - 15 ft
O 33 ft by 24 ft
49 ft by 40 ft

Answer 1

24 ft by 15 ft

Explanation:

Let l be the length of the garden. Then

l - 9 is the width of the garden.

`l(l - 9) = 360`

`{l}^(2) - 9l = 360`

`{l}^(2) - 9l - 360 = 0`

`(l - 24)(l + 15) = 0`

`l = 24`

`l - 9 = 15`

(since l + 15 = 0 will give a negative value for l).

So the dimensions of this garden are 24 ft and 15 ft.