Answer: 4x - 5
Step-by-step explanation:
We can use the formula for the area of a rectangle, substitute our known values, and solve to find the length.
A = LW
\(\displaystyle L=\frac{A}{W}\)
\(\displaystyle L=\frac{8x^2+6x-20}{2x+4}\)
Factor a two out of the numerator and denominator.
\(\displaystyle L=\frac{2(4x^2+3x-10)}{2(x+2)}\)
\(\displaystyle L=\frac{4x^2+3x-10}{x+2}\)
Factor the numerator:
\(\displaystyle L=\frac{(4x-5)(x+2)}{x+2}\)
Cancel out the one of (x + 2) / (x + 2) = 1:
L = 4x - 5
