SOLUTION: First sorry for my bad english. What are the sides of a rectangle with perimeter = 40 and area = 96? I know they are 12 and 8 but I need the simplest solution. Thanks in advan

Algebra ->  Rectangles -> SOLUTION: First sorry for my bad english. What are the sides of a rectangle with perimeter = 40 and area = 96? I know they are 12 and 8 but I need the simplest solution. Thanks in advan      Log On


   

Question 644850: First sorry for my bad english.
What are the sides of a rectangle with perimeter = 40 and area = 96?
I know they are 12 and 8 but I need the simplest solution.
Thanks in advance!
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
2l+2w=40
and so
l+w=20
l*w=96
l=20-w
l=96/w
20-w=96/w
20w-w^2-96=0
w^2-20w+96=0
(w-12)*(w-8)=0
w=12
w=8