The smith family is designing new plans for an in ground pool. mr smith draws a rectangular shape with a length that is 5 feet longer than the height. write a polynomial expression that represent the area of the pool.

area of pool = w(w+5) = w^2 + 5w square feet

Explanation:
The height of the pool is used as its width.
Assume that the width of the pool is w feet.
Now, we are given that the length of the pool is 5 feet longer than its width.
This means that:
length of the pool = w + 5 feet
The area of the rectangle is calculated as follows:
area = length * width
area = (w+5) * (w)
area = w^2 + 5w square feet

Hope this helps :)