SOLUTION: A square lawn is bounded on three sides by a path 4 m wide if the area of the path is 7/8 that of the lawn find the dimensions of the lawn

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Question 1084316: A square lawn is bounded on three sides by a path 4 m wide if the area of the path is 7/8 that of the lawn find the dimensions of the lawn
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
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Let "x" be the unknown side of the lawn.


A square lawn surrounded on three sides by the path 4 m wide is a rectangle of dimensions (x + 2*4) = (x+8) and (x+4) meters.


The area of this rectangle is (x+8)*(x+4) m^2.


Then the area of the path is  =  = 12x + 32 m^2.


The condition says that

12x + 32 = .


It is

 = 0.


Solve this quadratic equation for x.


Answer.  x = 16 m.

Solved.


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