Given:
Area = 24
Let w be the width Let 2w+2 be the length
Sub to A = lw
A = lw
24 = w(2w + 2)
24 = 2w ^ 2 + 2w
2w ^ 2 + 2w - 24 = 0
2(w - 3) * (w + 4) = 0
Set factors equal to 0. w - 3 = 0 w + 4 = O
w = 3 w = - 4
We'll use w = 3
2w +2=2(3)+2 = 8 is the length.
Therefore the dimension of the rectangle is 8 meters by 3 meters.
Check:
A = lw
24 = (8)(3)
24 [√] 24
