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What is the length of the diagonal of a rectangle with sides 3 cm and 4 cm? (202

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Question: What is the length of the diagonal of a rectangle with sides 3 cm and 4 cm? (2020)

Options:

  1. 5 cm
  2. 7 cm
  3. 6 cm
  4. 8 cm

Correct Answer: 5 cm

Exam Year: 2020

Solution:

Diagonal = √(length² + width²) = √(3² + 4²) = √(9 + 16) = √25 = 5 cm

What is the length of the diagonal of a rectangle with sides 3 cm and 4 cm? (202

Practice Questions

Q1
What is the length of the diagonal of a rectangle with sides 3 cm and 4 cm? (2020)
  1. 5 cm
  2. 7 cm
  3. 6 cm
  4. 8 cm

Questions & Step-by-Step Solutions

What is the length of the diagonal of a rectangle with sides 3 cm and 4 cm? (2020)
  • Step 1: Identify the lengths of the sides of the rectangle. Here, one side is 3 cm and the other side is 4 cm.
  • Step 2: Use the formula for the diagonal of a rectangle, which is Diagonal = √(length² + width²).
  • Step 3: Substitute the values into the formula. This means we will calculate √(3² + 4²).
  • Step 4: Calculate 3², which is 9.
  • Step 5: Calculate 4², which is 16.
  • Step 6: Add the results from Step 4 and Step 5. So, 9 + 16 = 25.
  • Step 7: Now, take the square root of 25. This gives us √25.
  • Step 8: The square root of 25 is 5.
  • Step 9: Therefore, the length of the diagonal of the rectangle is 5 cm.
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