Question

The rectangle below has an area of x^2 - 6x - 7 square meters and a width of x - 7 meters.

What expression represents the length of the rectangle?

x - 7 - width
x^2– 6x – 7 - area​

Answer 1

x+1 meters

Explanation:

Area = Length * Width

x^2 - 6x - 7 = length * (x-7)

x^2 + x - 7x - 7 = length * ( x-7)

x*(x+1) - 7*(x+1) = length * (x-7)

(x-7)*(x+1) = length * (x-7)

x+1 = length [for (x-7) not equal 0]