If the area of rectangle is 24 sqm and its perimeter 20 m.Fram the quadratic equation find lenght and breath.

lw = 24

2l + 2w = 20
l+w = 10
l = 10-w

in lw = 24
(10-w)(w) = 24
10w - w^2 = 24
w^2 - 10w + 24 = 0
(w-6)(w-4) = 0

w = 6 , then l = 4
w = 4 , then l = 6