Question

The length of a rectangular parking lot is 16 yards greater than 3 times its width, x, in yards. Enter the function f(x) that describes the area, in square yards, as a function of the width, x.

f(x) = _____

Answer 1

f(x) = Area = (length)(width)

width = x

The length is 16 yards greater than 3 times x

length = 3x+16

f(x) = (3x+16)(x) = 3x^2 + 16x

Answer 2

• f(x) = 3x² + 16x

Explanation:

We have been given that -- The length of a rectangular parking lot is 16 yards greater than 3 times its width, x, in yards

Length of parking lot is 16 + 3x

Width of parking lot is x

We have to write the function f(x) that describes the area, in square yards, as a function of the width, x

Area of rectangle is Length × width

`\sf Area = f(x)`

put value of length and width here,

`\sf f(x) = (16 + 3x)(x )`

`\sf f(x) = 3x^2 + 16x`

Therefore, f(x) = 3x² + 16x