Question

Walter made a rectangular-shaped lap pool. The pool is six feet deep everywhere, and it's length is 20 feet longer than twice it's width. after Walter made the pool, he filled it to the top with 900 cubic feet of water​

Answer 1

D) 5ft

Explanation:

Answer 2

The length of the rectangular pool is 30 feet and the width is 5 feet

Explanation:

The question is

Find the length and the width of the rectangular pool

we know that

The volume of a rectangular prism (a rectangular-shaped lap pool) is equal to

`V=LWH`

we have

`V=900\ ft^3`

`H=6\ ft`

`L=2W+20`

substitute the given values in the formula of volume

`900=(2W+20)W(6)`

solve for W

`150=2W^2+20W`

`2W^2+20W-150=0`

Simplify

`W^2+10W-75=0`

Solve the quadratic equation by graphing

using a graphing tool

The solution is W=5 ft

Find the value of L

`L=2(5)+20=30\ ft`

therefore

The length of the rectangular pool is 30 feet and the width is 5 feet