SOLUTION: A square swimming pool is surrounded by grass which is a square as well. The difference between the perimeters of the two squares is 12 meters and the difference between the areas
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Question 876658: A square swimming pool is surrounded by grass which is a square as well. The difference between the perimeters of the two squares is 12 meters and the difference between the areas of the two squares is 39 square meters. What is the length of each square
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let x = one side of the inner square. Since the difference between the perimeters of the two squares is 12 meters then the side of the outer square is 12/4=3 m longer than the inner side or x+3.
(x+3)^2-x^2=39
x^2+6x+9-x^2=39
6x+9=39
6x=30
x=5 m.
.
Ed
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