Question

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

Answer 1

length = x - 2

Explanation:

Area (A) of rectangle = lw ( l is the length and w the width )

A = x² - 7x + 10 = (x - 2)(x - 5) ← in factored form

l =
`(A)/(w)` =
`((x-2)(x-5))/(x-5)`

cancel the factor (x - 5) on the numerator/ denominator, hence

l = x - 2