The width of a rectangle is the length minus 6 units. The area of the rectangle is 27 units. What is the length, in units, of the rectangle?

The length is equal to x and the width is (x - 6), right?

The area of a rectangle is A = l * w so

l * w = A

x * (x - 6) = 7

x2 - 6x = 7

x2 - 6x - 7 = 0

(x-7)(x+1) =

x = 7 and x = -1

We cannot use x = -1 because we would end up with a negative length so we run with x = 7 as the length.

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