Question

A rectangle has an area of x3 + x2 – 7x + 2 square meters and a width of x – 2 meters. Find its length.

Answer 1

you need to divide thee expression for the area by (x-2).

this is x^2 + 3x - 1.

Answer 2

Answer: Length of the rectangle is
`x^2+3x-1`

Explanation:

Since we have given that

Area of rectangle is given by

`x^3+x^2-7x+2`

Width of rectangle is given by

`x-2`

We need to find the length of rectangle .

As we know the formula for "Area of rectangle ":

`Area=Length* breadth\\\\x^3+x^2-7x+2=Length* (x-2)\\\\(x^3+x^2-7x+2)/(x-2)=Length\\\\x^2+3x-1=Length`

Hence, Length of the rectangle is
`x^2+3x-1`