Multiple Choice Questions

Each side of a square is 12 cm long The perimeter of this square is equal to the perimeter of a rect...........

Quantitative Aptitude (MTS) Mensuration 2D

Each side of a square is 12 cm long. The perimeter of this square is equal to the perimeter of a rectangle whose length is 16

cm. What will be the area of this rectangle?

This questions was previously asked in

SSC MTS 12th July 2022 Shift-2

128 cm²

112 cm²

184 cm²

156 cm²

- A square has all sides equal. Here, each side is 12 cm.

- Therefore, the perimeter of the square is 4 × 12 = 48 cm.

- The perimeter of a rectangle is 2 × (length + width).

- Given, the length of the rectangle is 16 cm and its perimeter is 48 cm.

- Equation: 2 × (16 + width) = 48

- Simplifying: 16 + width = 24

- Therefore, width = 8 cm.

- Area of the rectangle = length × width = 16 × 8 = 128 cm².

Correct Answer: 128 cm²

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