SOLUTION: Ashley saved a distance equal to 80% of the length of the shortest side of a rectangular field by cutting across the diagonal of the field instead of along two of the sides. Find t
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Question 1073186: Ashley saved a distance equal to 80% of the length of the shortest side of a rectangular field by cutting across the diagonal of the field instead of along two of the sides. Find the ratio of the length of the shortest side to the length of the longest.
Answer by josgarithmetic(39627) (Show Source): You can put this solution on YOUR website!
x, longest side
y, shortest side
r, the diagonal path
Total path actually used,
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Question means, to find the ratio .
r is also hypotenuse of the right triangle of sides x and y.
Also from formula for r,
The two expressions for r^2 are equal.
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Algebra steps
Divide both sides by .
, ratio of shortest side to longest side
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