SOLUTION: The area of a square field exceeds another square by 56 sq. meters. The perimeter of the larger field exceeds one half of the smaller by 26 meters. What are the sides of the: (a) L

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Question 1080323: The area of a square field exceeds another square by 56 sq. meters. The perimeter of the larger field exceeds one half of the smaller by 26 meters. What are the sides of the: (a) Larger Field (b) Smaller Field ?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
system%28b%5E2-s%5E2=56%2C4b-%284s%29%2F2=26%29

2b-2s%2F2=13
2b-s=13
s=2b-13

-
b%5E2-s%5E2=56
b%5E2-%282b-13%29%5E2=56
b%5E2-%284b%5E2-52b%2B169%29=56
b%5E2-4b%5E2%2B52b-169=56
-3b%5E2%2B52b-169-56=0
-3b%5E2%2B52b-225=0
3b%5E2-52b%2B225=0

D, 52%5E2-4%2A3%2A225=4=2%5E2

b=%2852%2B-+2%29%2F6


system%28b=8%261%2F3%2Cor%2Cb=9%29
and
system%28s=3%262%2F3%2Cor%2Cs=5%29



Either highlight%28system%28b=8%261%2F3%2Cand%2Cs=3%262%2F3%29%29%29
or
highlight%28system%28b=9%2Cand%2Cs=5%29%29
-