What is the length of a longer side of a rectangle that has a perimeter of 64cm and an area of 192m cm?

L * W = 192        W = 192/L

 

L + L  + W + W = 64

2L + 2 (192/L) = 64

2 L^2 - 64 L + 384 = 0     Quadratic Formula shows L = 24    or 8            L = 24      W = 8