The perimeter of a square is equal to the perimeter of a rectangle and the latter has a width of 12 ...........

Quantitative Aptitude (MTS) Mensuration 2D

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.

This questions was previously asked in

SSC MTS 6th July 2022 Shift-1

412 cm²

394 cm²

324 cm²

336 cm²

- The perimeter of the square equals the perimeter of the rectangle.

- The area of the square is given as 400 cm².

- The side length of the square is v400 = 20 cm.

- So, the perimeter of the square = 4 × 20 = 80 cm.

- Hence, the perimeter of the rectangle is also 80 cm.

- Given that the width of the rectangle is 12 cm.

- Let the length of the rectangle be L.

- The perimeter of the rectangle is 2(L + 12) = 80.

- Solving gives: L + 12 = 40 ? L = 28 cm.

- The area of the rectangle = Length × Width = 28 × 12 = 336 cm².

Option 4: 336 cm² is correct.

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