SOLUTION: Hello! I'm not sure how to set up the following word problem: An address book cover has a permiter of 14 inches, and a diagonal measurement of 5 inches. What is the length and w

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Question 283986: Hello! I'm not sure how to set up the following word problem:
An address book cover has a permiter of 14 inches, and a diagonal measurement of 5 inches. What is the length and width of the cover?
Thank you!!!!!
Heidi
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2X+2Y=14
2X=14-2Y
X=(14-2Y)/2
X^2+Y^2=5^2
[(14-2Y)/2]^2+Y^2=25
[(196-56Y+4Y^2)/4]+Y^2=25
[(196-56Y+4Y^2+4Y^2)]/4=25
(8Y^2-56Y+196)=4*25
8Y^2-56Y+196-100=0
8Y^2-56Y+96=0
8(Y^2-7Y+12)=0
8(Y-3)(Y-4)=0
Y-3=0
Y=3 ANS.
Y-4=0
Y=4 ANS.
PROOF:
2*3+2*4=14
6+8=14
14=14