Question

Bob's swimming pool has a length of w + 14 and a width of w + 8. There is a walkway around the pool that is 4 feet wide. Write an expression for the entire area.

Answer 1

`A = w^2 + 38w + 352`

Explanation:

Area of a Rectangle

Given L as the length of a rectangle and W as its width, the area is calculated as:

A = L.W

Bob's swimming pool has L = w + 14 and a width of W = w + 8. Additionally, there is a walkway around the pool 4 feet wide. This walkway adds 2*4=8 to each dimension, thus: L = w + 22, W = w + 16.

Calculating the area:

A = (w + 22)(w + 16)

Operating:

`A = w^2 + 38w + 352`