Question

The width of the swimming pool is 12 feet less than the pools length. The area of the pool is 540 square feet m. What are the dimensions of the pool

Answer 1

Length: 30
Width: 30-12 = 18
Area: 540
Hope this helps!

Answer 2

The length of pool is: 30 feet

and the width of pool is: 18 feet

Explanation:

Let the length of the swimming pool be denoted by: l

and the width of the swimming pool be denoted by: w

The area of the swimming pool will be:

`Area=l* w`

Here it is given that:

The width of the swimming pool is 12 feet less than the pools length.

i.e.

`w=l-12----------(1)`

and the area of pool is: 540 square feet.

i.e.

`l* w=540\\\\i.e.\\\\l(l-12)=540\\\\i.e.\\\\l^2-12l-540=0`

i.e.

`l^2-30l+18l-540=0\\\\i.e.\\\\l(l-30)+18(l-30)=0\\\\i.e.\\\\(l+18)(l-30)=0\\\\i.e.\\\\l=-18\ and\ l=30`

but l can't be negative, since the length of something can't be negative.

Hence, we get:

`l=30`

and on putting the value of l in equation (1) we get:

`w=30-12\\\\i.e.\\\\w=18`