Calculate the dimensions of the rectangle

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Question from Sara, a student:

Hi!
The perimeter of a rectangle is 62cm. The length of the diagonal is 25 cm. Calculate the dimensions of the rectangle.
Thanks!

Sara,

Let the dimensions of the rectangle be x and y (width and height).

Then 2x + 2y = 62 and due to Pythagorus, x² + y² = 25².

Solve for x and y in this system of equations. If you need further help, try searching for "substitution method" or "simultaneous equations" in our Quick Search.

Stephen La Rocque.

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.