parking lot had a length that is 7 yards greater than thre width. the area of the lot is 450 square yards. what is the length and width?

x(x+7) = 450

x^2 + 7 x - 450 = 0

x = [ - 7 +/- sqrt (49+1800) ] / 2

x = [ - 7 +/- sqrt (1849) ] / 2

x = [ -7 +/- 43 ]/2

x = 18
x+7 = 25