SOLUTION: A rectangular park has an area of 2/3 square mile. The length of the park is 2 2/3 the width of the park. What is the width of the park?
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Question 849636: A rectangular park has an area of 2/3 square mile. The length of the park is 2 2/3 the width of the park. What is the width of the park?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
2 2/3 = 2 + 2/3
2 2/3 = 6/3 + 2/3
2 2/3 = (6+2)/3
2 2/3 = 8/3
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"The length of the park is 2 2/3 the width of the park" ---> L = (8/3)*W
Let W = x
A = L*W
A = ((8/3)*W)*W
2/3 = ((8/3)*x)*x
2/3 = (8/3)*x^2
3*(2/3) = 3*(8/3)*x^2
2 = 8x^2
2/8 = x^2
1/4 = x^2
x^2 = 1/4
x = sqrt(1/4)
x = 1/2
The width is 1/2 of a mile
the length is (8/3)*W = (8/3)*(1/2) = 8/6 = 4/3 of a mile
Note:
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