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Angie takes a rectangular piece of fabric and cuts from one corner to the opposite corner. If the piece of fabric is 21 inches long and 72 inches wide, how long is the diagonal cut that Angie made?

Question

Angie takes a rectangular piece of fabric and cuts from one corner to the opposite corner. If the piece of fabric is 21 inches long and 72 inches wide, how long is the diagonal cut that Angie made?

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Solution

To find the length of the diagonal cut that Angie made, we can use the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Here are the steps to solve the problem:

  1. Identify the lengths of the two sides of the rectangle. In this case, one side is 21 inches and the other side is 72 inches.

  2. Square each of these lengths. That means you multiply each length by itself. So, 2121 = 441 and 7272 = 5184.

  3. Add these two squares together. So, 441 + 5184 = 5625.

  4. Take the square root of this sum to find the length of the diagonal. The square root of 5625 is 75.

So, the diagonal cut that Angie made is 75 inches long.

This problem has been solved

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