SOLUTION: A square lawn is surrounded by a concrete walkway that is 2.0m wide, as shown in the diagram. If the area of the walkway equals the area of the lawn, what are the dimensions of the

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Question 390292: A square lawn is surrounded by a concrete walkway that is 2.0m wide, as shown in the diagram. If the area of the walkway equals the area of the lawn, what are the dimensions of the lawn? Round your answer to the nearest tenth of a meter.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
No figure is shown.
If the side of the lawn is x, and 2 is the width of the walkway:
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=128 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 9.65685424949238, -1.65685424949238. Here's your graph:

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Ignore the negative solution
x =~ 9.657 meters
x = 9.7 meters
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