SOLUTION: A fence of length 400cm is used to make 2 square fields . If the area of the larger field is 9 times that of the smaller , find perimeter of larger field

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Question 1006880: A fence of length 400cm is used to make 2 square fields . If the area of the larger field is 9 times that of the smaller , find perimeter of larger field
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
400 length split into x and y.
Each of these, becomes perimeter x for smaller field, and perimeter y for large field.

Each is square shape, so side length for small field is x%2F4; side length for large field is y%2F4.

%28y%2F4%29%5E2=9%2A%28x%2F4%29%5E2, from second part of the description.
y%5E2%2F16=%289%2F16%29x%5E2
y%5E2=9x%5E2


The original 400 cm length also allows the equation, x%2By=400.

Solve this system for x and y:
system%28x%2By=400%2Cy%5E2=9x%5E2%29

system%28x%2By=400%2Cy=0%2B-+3x%29

x-3x=400----this option is meaningless.

x%2B3x=400
4x=400
highlight%28x=100%29, highlight%28y=300%29.