SOLUTION: A rectangle has a perimeter of 80m and a diagonal of 1000m. Find its dimensions.

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Question 1136704: A rectangle has a perimeter of 80m and a diagonal of 1000m. Find its dimensions.
Found 3 solutions by josgarithmetic, josmiceli, ikleyn:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website!

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Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website!
A rectangle has 4 right angles, so the diagonal
makes a right triangle.
Let = the unknown side of the rectangle.
One of the known right triangles has sides in the ratio:
3 - 4 - 5
The sides are in the same ratio:
x/20 - 80/20 - 1000/20 same ratios as: 3 - 4 - 5
So I can say:
so that
dimensions are 60m x 80m x 1000m

Answer by ikleyn(52779)   (Show Source):
You can put this solution on YOUR website!
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A rectangle has a perimeter of 80m and a diagonal of 1000m. Find its dimensions.
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1.   Such a rectangle does not exist.

2.   The problem formulation is   F A T A L L Y   D E F E C T I V E

3.   Both "solutions " of other tutors are   W R O N G.