The length of each diagonal of a rectangle is 50 cm If its breadth is 14 cm then what will be the ar...........

Quantitative Aptitude (MTS) Mensuration 2D

The length of each diagonal of a rectangle is 50 cm. If its breadth is 14 cm, then what will be the area of the rectangle?

This questions was previously asked in

SSC MTS 26th July 2022 Shift-2

784

672

832

716

- A rectangle's diagonal forms a right triangle with its length and breadth.

- The Pythagorean theorem applies: $d^2 = l^2 + b^2$, where $d$ is the diagonal, $l$ is the length, and $b$ is the breadth.

- Given, $d = 50$ cm and $b = 14$ cm. Therefore, $l^2 = d^2 - b^2$.

- Calculate: $50^2 = l^2 + 14^2$$; so \(2500 = l^2 + 196$, $$l^2 = 2304\), hence $l = 48$ cm.

- Area is calculated by $l \times b = 48 \times 14 = 672$ square cm.

- Options:

- Option 1: 784 - Not correct.

- Option 2: 672 - Correct.

- Option 3: 832 - Not correct.

- Option 4: 716 - Not correct.

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