Question

The rectangle below has an area of x2 - 6x – 7 square

meters and a width of x – 7 meters.
What expression represents the length of the rectangle?
Length
x - 7
x² - 6x - 7

Answer 1

The length is (x+1)

Explanation:

1. We know the area equals length times width. LxW=Area
2. We know the width equals (x-7). We also know the area equals x² - 6x - 7.
3. We need to expand the area. When we do, we get (x+1)(x-7).
4. The width is (x-7), so the length must be (x+1).