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SSC MTS 2021 · PYQ · Mensuration · medium

The perimeter of a square is equal to the perimeter of a rectangle, and the latter has a width of 12 cm. The area of the square is 400 cm². Find the area of the rectangle.

  1. A.394 cm²
  2. B.336 cm²✓ Correct
  3. C.412 cm²
  4. D.324 cm²

Explanation

Side of square = √400 = 20 cm, so perimeter = 80 cm. Rectangle perimeter = 80 cm → 2(l+12) = 80 → l = 28 cm. Area of rectangle = 28 × 12 = 336 cm².
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