SOLUTION: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Problem Solving Using

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Question 168421This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Problem Solving Using Polynomial Equations
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A farmer plans to use 25m of fencing to enclose a rectangular pen that has a area of 63m^2. Only three side of the pen need fencing because part of a existing wall will be used for one of the longer sides. Find the dimensions of the pen. This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
L * W = 63

L + 2W = 25 __ L = 25 - 2W __ substituting __ (25-2W)*W=63 __ 2W^2-25W+63=0

factoring __ (2W-7)(W-9)=0

2W-7=0 __ W=7/2 __ substituting __ L+2(7/2)=25 __ L=18

W-9=0 __ W=9 __ substituting __ L+2(9)=25 __ L=7

the length is more than the width, so the 1st solution is the correct one