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SSC MTS 2025 · PYQ · Mensuration · medium

A square and a rectangle have equal perimeters. If the rectangle is 54 cm by 20 cm, find the area of the square.

Answer

The correct answer is A: 1369 cm². Perimeter of rectangle = 2(54+20) = 148 cm; side of square = 148/4 = 37 cm; area = 37² = 1369 cm².

  1. A.1369 cm²✓ Correct
  2. B.1069 cm²
  3. C.769 cm²
  4. D.1669 cm²

Explanation

Perimeter of rectangle = 2(54+20) = 148 cm; side of square = 148/4 = 37 cm; area = 37² = 1369 cm².
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