Question 87335
L=3W+12
L^2+W^2=100^2
(3W+12)^2+W^2=10000
9W^2+72W+144+W^2-10000=0
10W^2+72W-9856=0
(2W-56)(5W+176)=0
2W-56=0
2W=56
W=28 ANSWER FOR THE WIDTH.
L=3*28+12
L=96 ANSWER FOR THE LENGTH.
PROOF
28^2=96^2=10000
784+9216=10000
10000=10000