Question

The length of a rectangle is (x^2- 4x+2) feet and the width is (x+4) feet

Answer 1

`A=x^3-14x+8`

Explanation:

Given that,

Length of a rectangle,
`l=(x^2- 4x+2)`

Width of a rectangle,
`b=(x+4)`

We need to find the area of the rectangle.

We know that,

Area of a rectangle = l × b

Substituting all the values,

`A=(x^2- 4x+2)* (x+4)\\\\=x^3+4x^2-4x^2-16x+2x+8\\\\=x^3-14x+8`

Hence, the area of the rectangle is
`x^3-14x+8`.