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Kiera takes a rectangular piece of fabric and cuts from one corner to the opposite corner. If the piece of fabric is 6 inches long and 6 inches wide, how long is the diagonal cut that Kiera made? If necessary, round to the nearest tenth. inches

Question

Kiera takes a rectangular piece of fabric and cuts from one corner to the opposite corner. If the piece of fabric is 6 inches long and 6 inches wide, how long is the diagonal cut that Kiera made? If necessary, round to the nearest tenth. inches

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Solution

To find the length of the diagonal cut that Kiera 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.

In this case, the length and the width of the fabric form a right angle, and the diagonal cut is the hypotenuse.

Here are the steps to find the length of the diagonal cut:

  1. Square the length of the fabric: 6 inches * 6 inches = 36 square inches.
  2. Square the width of the fabric: 6 inches * 6 inches = 36 square inches.
  3. Add the squares of the length and the width: 36 square inches + 36 square inches = 72 square inches.
  4. Take the square root of the sum to find the length of the diagonal cut: √72 = approximately 8.5 inches.

So, the diagonal cut that Kiera made is approximately 8.5 inches long.

This problem has been solved

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