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CDS 2022 · PYQ · Mensuration · medium

A farmland is in the shape of a rhombus. The perimeter of the land is 100 m and the length of one of the diagonals is 40 m. The land is divided into four equal parts. What is the area of each part?

  1. A.225 square metre
  2. B.150 square metre✓ Correct
  3. C.300 square metre
  4. D.450 square metre

Explanation

Side=25, half-diagonal d1/2=20. Other half-diagonal = √(25²-20²)=15, so d2=30. Area of rhombus = (1/2)·40·30 = 600. Each part = 150 m².
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