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A rectangular measure 8cm on length and it's diagonals measures 10cm what is the perimeter of the rectangular?

Correct answer: C. 28cm

  • A. 36cm
  • B. 38cm
  • C. 28cm
  • D. 18cm

Explanation

For a rectangle, diagonal² = length² + breadth². Therefore breadth² = 10² square centimetres − 8² square centimetres = 100 square centimetres − 64 square centimetres = 36 square centimetres, giving breadth = 6 centimetres; the perimeter is 2 × (8 centimetres + 6 centimetres) = 28 centimetres. The common error is choosing 36 centimetres by adding the squared lengths instead of using the square root and then the perimeter formula.

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