Question

Suppose that the length of a pool is 3 3​ times the width. The deck on the pool has the same width all around which is 4 4​ feet. Write a quadratic function to represent the area of the pool and deck.

Answer 1

The quadratic function to represent the area of the pool and deck is A(x) = (3x + 8)(x + 8).

Step-by-step explanation:

To write a quadratic function to represent the area of the pool and deck, we can start by letting the width of the pool be x.

Since the length of the pool is 3 times the width, the length will be 3x.

The deck around the pool has a width of 4 feet on each side, so the total width of the pool and deck will be x + 8, and the total length will be 3x + 8.

Therefore, the area of the pool and deck can be represented by the quadratic function:

A(x) = (3x + 8)(x + 8)