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

Question

3 years ago

15

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.)

Mathematics

1 answer:

tiny-mole [99] · Answer 1 · 2022-08-20T00:08:59+03:00

tiny-mole [99]3 years ago

7 0

Answer:

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

Step-by-step 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

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 length of a rectangular park is four timesfour times its width. The park is surrounded by a 33-foot-wide path. Let x denote