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What is the length of the diagonal of a rectangle with length 6 cm and width 8 c

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Question: What is the length of the diagonal of a rectangle with length 6 cm and width 8 cm? (2022)

Options:

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

Correct Answer: 10 cm

Exam Year: 2022

Solution: 

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

What is the length of the diagonal of a rectangle with length 6 cm and width 8 c

Practice Questions

Q1
What is the length of the diagonal of a rectangle with length 6 cm and width 8 cm? (2022)
  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 length 6 cm and width 8 cm? (2022)
  • Step 1: Identify the length and width of the rectangle. Here, the length is 6 cm and the width is 8 cm.
  • Step 2: Use the Pythagorean theorem to find the diagonal. The formula is d = √(length² + width²).
  • Step 3: Substitute the values into the formula. This gives us d = √(6² + 8²).
  • Step 4: Calculate 6², which is 36.
  • Step 5: Calculate 8², which is 64.
  • Step 6: Add the results from Step 4 and Step 5. So, 36 + 64 = 100.
  • Step 7: Take the square root of 100. This gives us √100 = 10.
  • Step 8: Conclude that the length of the diagonal is 10 cm.
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