Find the dimensions of a rectangle

Question

Find the dimensions of a rectangle whose width is 5 meters less than its length, and whose area is 456 square meters.

Answer 1

x(x+5) = 456 = x^2 +5x

x^2 +5x -456 = 0

factor or use the quadratic formula

(x-19)(x+24) = 0

x = 19 meters

x+5 = 24 meters