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?

Question

Mathematics

Athena Irwin

27 August, 06:22

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?

+5

Answers (1)

Know the Answer?

Deanna Rollins · 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.