A factory makes rectangular boxes. The area of the top surface can be modeled by the function: f(x) = 66x^2 + 17x + 1. The width of the top surface can be modeled by the function: g(x) = 6x + 1.

Write an expression, h(x), in standard form that describes the length of the top surface.

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raphealnwobi raphealnwobi · Answer 1 · 2022-03-09T09:48:13+01:00

The length of the top surface is given by h(x) = 11x + 1.

Area is the amount of space occupied by a two dimensional object or figure. The area (A) of a rectangle is given by:

A = length * width

Let h(x) represent the width, hence:

66x² + 17x + 1 = (6x + 1)(11x + 1)

Since the width is g(x) = 6x + 1, hence the length = 11x + 1

The length of the top surface is given by h(x) = 11x + 1.

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