SOLUTION: The sum of the areas of two unequal lots is 5200 sq. meters. If the lots were adjacent to each other, they would require 320 meters of fence to enclose the combined formed by them.

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Question 1081184: The sum of the areas of two unequal lots is 5200 sq. meters. If the lots were adjacent to each other, they would require 320 meters of fence to enclose the combined formed by them. Find the dimensions of each lot.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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A%5B1%5D=x%5E2
A%5B2%5D=y%5E2
A%5B1%5D%2BA%5B2%5D=5200
1.x%5E2%2By%5E2=5200
For the fence,
3y%2B%28y-x%29%2B3x=320
x%2B2y=160
2.x=160-2y
Substituting into 1,
%28160-2y%29%5E2%2By%5E2=5200
25600-640y%2B4y%5E2%2By%5E2-5200=0
5y%5E2-640y%2B20800=0
y%5E2-128y%2B4080=0
%28y-60%29%28y-68%29=0
Two solutions,
y-60=0
y=60
Then,
x=160-2%2860%29
x=160-120
x=40
and
y-68=0
y=68
Then,
x=160-2%2868%29
x=160-136
x=24