Answer:
W = 16
L = 24
Step-by-step explanation:
Let's write down the information we have first
"The length of a rectangle is 8 feet longer than it is wide"
L = W + 8
"If each side is increased 8 feet, then the area is multiplied by 2."
(L + 8)(W + 8) = 2LW
Now we can solve for W first, then L
(W + 16)(W + 8) = 2W(W + 8)
W² + 24W + 128 = 2W² + 16W
0 = W²- 8W - 128
0 = (W - 16)(W + 8)
W = 16
L = 24
(This part above is solved like quadratics)
