SOLUTION: A rectangular yard is 80m by 60m. Part of the yard is torn up to install a sidewalk of uniform width which is to surround the remaining garden. The area of the sidewalk is half t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A rectangular yard is 80m by 60m. Part of the yard is torn up to install a sidewalk of uniform width which is to surround the remaining garden. The area of the sidewalk is half t      Log On


   

Question 1177100: A rectangular yard is 80m by 60m. Part of the yard is torn up to install a
sidewalk of uniform width which is to surround the remaining garden.
The area of the sidewalk is half the area of the yard. Find the width of
the sidewalk and the dimensions of the garden.
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Yard? Garden? What, which?
Part of the YARD is torn up, to be used for the surrounding sidewalk. How the "garden" is meant can be ignored (maybe).

x, the uniform width inside the original garden, to be torn up and replaced with sidewalk

80%2A60, area of original region
%2880-2x%29%2860-2x%29, area of remaining "yard"
80%2A60-%2880-2x%29%2860-2x%29, area of the sidewalk


You should be able to refer again to the description and maybe continue to solve on your own.