Question

The length of a rectangular park is four timesfour times its width. The park is surrounded by a 33​-foot-wide path. Let x denote the width of the park. Write a quadratic function to represent the total area of the park and the path.

The quadratic function that represents the total area of the park and the path is _____.
​(Simplify your answer. Do not​ factor.)

Answer 1

A(x) = 4x^2 + 330x + 4356

Explanation:

width of park: x

length of park: 4x

width + path width = x + 66

length + path width = 4x + 66

area = (x + 66)(4x + 66)

area = 4x^2 + 66x + 264x + 4356

area = 4x^2 + 330x + 4356

A(x) = 4x^2 + 330x + 4356