What is the length of the diagonal of a rectangle with length 12 cm and width 5

Practice Questions

Q1
What is the length of the diagonal of a rectangle with length 12 cm and width 5 cm?
  1. 13 cm
  2. 14 cm
  3. 15 cm
  4. 16 cm

Questions & Step-by-Step Solutions

What is the length of the diagonal of a rectangle with length 12 cm and width 5 cm?
  • Step 1: Identify the length and width of the rectangle. Here, the length is 12 cm and the width is 5 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 = √(12² + 5²).
  • Step 4: Calculate 12², which is 144.
  • Step 5: Calculate 5², which is 25.
  • Step 6: Add the two results together: 144 + 25 = 169.
  • Step 7: Take the square root of 169. The square root of 169 is 13.
  • Step 8: Conclude that the length of the diagonal is 13 cm.
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