SOLUTION: A factory is to be built on a lot measuring 150 ft by 200 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factor

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Question 987814: A factory is to be built on a lot measuring 150 ft by 200 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w and L for width and length of the floor of the factory, these KNOWN.
x, unknown uniform width surrounding the factory.

wL, the factory area.
2wL, the combined border plus factory area.
%28w%2B2x%29%28L%2B2x%29, also is the combined border plus factory area.

2wL=%28w%2B2x%29%28L%2B2x%29
or
The area of this factory must be surrounded by area of uniform width so that this border
area is equal to the factory area:
%28w%2B2x%29%28L%2B2x%29-wL=wL

Solve for x.
Once that is done, evaluate x according to system%28w=150%2CL=200%29.