SOLUTION: Please help me solve: The perimeter of the rectangle is 20 inches.The perimeter of the inscribed triangle is 20 inches. Find the dimensions of the rectangle.

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Question 1013370: Please help me solve:
The perimeter of the rectangle is 20 inches.The perimeter of the inscribed triangle is 20 inches. Find the dimensions of the rectangle.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Draw the description this way:
Rectangle y high and 2x from left to right. In the middle of either length put a point and draw segment to each 'opposite' corner. This will look like two smaller rectangles of x by y with diagonal d.

(An actual picture would be better....)


You will have these equations according to what is given and the description.
system%28x%5E2%2By%5E2=d%5E2%2C2%282x%29%2B2y=20%2C2d%2B2x=20%29
Three equations in three unknowns.
Solve for y and 2x.