What is the length of the diagonal of a rectangle with length 6 units and width

Practice Questions

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

Questions & Step-by-Step Solutions

What is the length of the diagonal of a rectangle with length 6 units and width 8 units?
  • Step 1: Identify the length and width of the rectangle. The length is 6 units and the width is 8 units.
  • Step 2: Use the formula for the diagonal of a rectangle, which is d = √(length² + width²).
  • Step 3: Substitute the values into the formula: 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: 36 + 64 = 100.
  • Step 7: Take the square root of 100: √100 = 10.
  • Step 8: Conclude that the length of the diagonal is 10 units.
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