Question

The rectangle below has an area of x^2-7x+10x square meters and a width of x-5x meters. What expression represents the length of the rectangle?

Answer 1

The area of a rectangle is:

\sf A=lw

Plug in what we know:

\sf x^2-7x+10=l(x-5)

Factor the left side:

\sf (x-2)(x-5)=l(x-5)

Divide (x - 5) to both sides:

\sf l=\boxed{\sf x-2}

So the length is x - 2 meters.

Explanation: