The area of a rectangle is 24 cm2. The width is two less than the length. What is the length and width of the rectangle?  let length = x so width would be x - 2

now area = l * w or

A = x * (x - 2) or

A = x2 - 2x now area = 24 so

24 = x2 - 2x

 x2 - 2x - 24 = 0 or x2 - 6x + 4x - 24 = 0

taking x common

x(x - 6) + 4(x - 6)= 0

x = 6 and -4 //discard -4 as thats not a valid number

length = 6 and with = x-2 = 4 answer