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SBI Junior Associate 2023 · Question 17 of 188

The perimeter of the rectangle is six times the perimeter of the rhombus and the length of the rectangle is double the breadth of the rectangle. If the diagonals of the rhombus are 16 m and 12 m respectively, then find the area of the rectangle.

mensuration

  1. AA. 3200 m^2Correct
  2. BB. 3600 m^2
  3. CC. 2800 m^2
  4. DD. 2800 m^2
  5. EE. None of these

Answer: A. A. 3200 m^2

Explanation

Side of rhombus = sqrt(16^2 + 12^2)/2 = 10; perimeter of rhombus = 40 m; 2 x (2x + x) = 40 x 6; x = 40; area = 40 x 80 = 3200 m^2.

Source: SBI Clerk Mains Memory Based Paper 2023 - Quant (Guidely, via bhagyaachievers.com) · memory-based

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