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What is the length of the diagonal of a rectangle with a length of 8 cm and a wi

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Question: What is the length of the diagonal of a rectangle with a length of 8 cm and a width of 6 cm?

Options:

  1. 10 cm
  2. 12 cm
  3. 14 cm
  4. 16 cm

Correct Answer: 10 cm

Solution: 

The length of the diagonal of a rectangle can be calculated using the Pythagorean theorem: diagonal = √(length² + width²) = √(8² + 6²) = √(64 + 36) = √100 = 10 cm.

What is the length of the diagonal of a rectangle with a length of 8 cm and a wi

Practice Questions

Q1
What is the length of the diagonal of a rectangle with a length of 8 cm and a width of 6 cm?
  1. 10 cm
  2. 12 cm
  3. 14 cm
  4. 16 cm

Questions & Step-by-Step Solutions

What is the length of the diagonal of a rectangle with a length of 8 cm and a width of 6 cm?
  • Step 1: Identify the length and width of the rectangle. The length is 8 cm and the width is 6 cm.
  • Step 2: Use the Pythagorean theorem formula to find the diagonal. The formula is diagonal = √(length² + width²).
  • Step 3: Substitute the values into the formula. This means we calculate diagonal = √(8² + 6²).
  • Step 4: Calculate 8², which is 64.
  • Step 5: Calculate 6², which is 36.
  • Step 6: Add the two results together: 64 + 36 = 100.
  • Step 7: Take the square root of 100. The square root of 100 is 10.
  • Step 8: Conclude that the length of the diagonal is 10 cm.
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