SOLUTION: A rectangular garden measuring 6m by 9 m is surrounded by a walkway of uniform width. If the area of the walkway is 23 m2 less than the garden find the width of the walkway.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A rectangular garden measuring 6m by 9 m is surrounded by a walkway of uniform width. If the area of the walkway is 23 m2 less than the garden find the width of the walkway.      Log On


   

Question 1083206: A rectangular garden measuring 6m by 9 m is surrounded by a walkway of uniform width. If the area of the walkway is 23 m2 less than the garden find the width of the walkway.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, width of the walkway surrounding the garden

Garden Area, 6%2A9
Total Area Garden AND walkway, %286%2B2x%29%289%2B2x%29
Just the walkway area, %286%2B2x%29%289%2B2x%29-6%2A9


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If the area of the walkway is 23 m^2 less than the garden,...
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%286%2B2x%29%289%2B2x%29-6%2A9=6%2A9-23------Simplify this and solve for x; and choose the solution which makes sense.