Question 952212
x=length perpendicular to wall; y=length parallel to wall
2x+y=26m
y=26m-2x
x*y=72sq m
x(26m-2x)=72sq m
-2x^2+26x=72 sq m
-2x^2+26x-72=0*[invoke quadratic "x", -2, 26, -72 ]
ANSWERS: x=4 m or x=9m
For x=4 m:
y=26m-2x=26m-8m=18m For x=4m, y=18m
For x=9 m:
y=26m-2x=26m-18m=8m For x=9m, y=8m
CHECK
(4m,18m):
A=x*y
72 sq m=4m*18m
72 sq m=72 sq m
(9m,8m)
A=x*y
72 sq m=8m*9m
72 sq m=72 sq m