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If the diagonal of a square is 10√2 cm, what is the area of the square?

Practice Questions

Q1
If the diagonal of a square is 10√2 cm, what is the area of the square?
  1. 100 cm²
  2. 200 cm²
  3. 50 cm²
  4. 150 cm²

Questions & Step-by-Step Solutions

If the diagonal of a square is 10√2 cm, what is the area of the square?
  • Step 1: Understand that the diagonal of a square is related to the side length by the formula d = s√2.
  • Step 2: We know the diagonal d is 10√2 cm.
  • Step 3: To find the side length s, rearrange the formula to s = d/√2.
  • Step 4: Substitute the value of d into the formula: s = (10√2)/√2.
  • Step 5: Simplify the equation: s = 10 cm.
  • Step 6: Now, to find the area of the square, use the formula for area: Area = s².
  • Step 7: Substitute the value of s into the area formula: Area = 10².
  • Step 8: Calculate the area: Area = 100 cm².
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