Problema Solution

A builder is designing a rectangular parking lot. She has 300 feet of fencing to enclose the parking lot around three sides. Write a quadratic function in standard form that represents each area as function of the width.

Answer provided by our tutors

Let


x = the width of the parking lot

A = the area of the parking lot


the length of the parking lot is: 300 - 2x


area of a rectangle is width*length


A = w * l


A(x) = x * (300 - 2x)


A(x) = -2x^2 + 300x