SOLUTION: A rectangular garden is two times as long as it is wide and is surrounded by a brick wall 1.5 meters wide. Find the dimensions of the garden if the area of the walk is 171 meters s
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Question 943369: A rectangular garden is two times as long as it is wide and is surrounded by a brick wall 1.5 meters wide. Find the dimensions of the garden if the area of the walk is 171 meters squared.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Which is it? Brick wall or a walk, which surrounds the garden? On ground level the area occupied around the garden has a uniform width of 1.5 meters. This can be used for the ground level area surrounding the garden.
w width of garden
L length of garden
L=2w;
u, the uniform width of the surrounding area;
u=1.5
, account for the surrounding path or area
, notice inverse to 2w^2...
the single variable here is just w.
substitute for u.
, and according to given, .
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