Anthony is building a rectangular shaped swimming pool with a perimeter of 80 feet. Determine a function A(w) that models the area of the top surface of the swimming pool in terms of width W. A(w)= For w>0

Step-by-step explanation:

Given

--- perimeter

Required

Define the area in terms of width

The perimeter of the pool is:

Where:

So:

Divide by 2

Make l the subject

The area is then calculated as;

Substitute:

so, converting firstly the mixed fractions to improper fractions and then "adding".