# mathematics

A rectangular house with 60*50 feet dimension has a rectangular wall surrounding the garden around the house.the area of garden is same as area of house.so how far is wall from the house?

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1. Assuming garden has uniform width w.
2*60*50=(50+w)(60+w)
=>
w²+110w-3000=0
w=22.62 or -132.62 (rejected)
So wall is 22.62 m from the house.

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