Back to 9.6 Graph Quadratic Functions Using Properties

9.6 Exercise 95

Avg difficulty 2.5

Solve. Round answers to the nearest tenth.

A land owner is planning to build a fenced in rectangular patio behind his garage, using his garage as one of the “walls.” He wants to maximize the area using 80 feet of fencing. The quadratic function A(x) = x(80 − 2x) gives the area of the patio, where x is the width of one side. Find the maximum area of the patio.

OpenStax Intermediate Algebra 2e, 9.6 Graph Quadratic Functions Using Properties, exercise 95

AI Tutor

Adapted from Intermediate Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Intermediate Algebra 2e. Imported at revision 77a933c.