The lengths of one side and a diagonal of a rectangle are 63 cm and 65 cm respectively What is the p...........

Quantitative Aptitude (MTS) Mensuration 2D

The lengths of one side and a diagonal of a rectangle are 63 cm and 65 cm, respectively. What is the perimeter (in cm) of a

square whose area is one-seventh of that of the rectangle?

This questions was previously asked in

SSC MTS 18th October 2021 Shift-3

- In a rectangle, the diagonal forms a right triangle with the sides. Given sides are 63 cm and diagonal is 65 cm.

- Use the Pythagorean theorem to find the missing side: \( x^2 + 63^2 = 65^2 \).

- Solving gives \( x = 16 \).

- The area of the rectangle: \( 63 \times 16 = 1008 \) square cm.

- One-seventh of the area: \( 1008 / 7 = 144 \) square cm.

- The area of the square is 144 square cm. Thus, the side length of the square is \(\sqrt{144} = 12 \) cm.

- The perimeter of the square: \( 4 \times 12 = 48 \) cm.

- Correct answer is: Option: 4 - 48

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