The diagonal of a rectangle is 20 cm If its breadth is 12 cm then what will be its length ........

Quantitative Aptitude (MTS) Mensuration 2D

The diagonal of a rectangle is 20 cm. If its breadth is 12 cm, then what will be its length?

This questions was previously asked in

SSC MTS 8th July 2022 Shift-1

15 cm

16 cm

18 cm

17 cm

- To find the length of the rectangle, apply the Pythagorean theorem: $$ \text{Diagonal}^2 = \text{Length}^2 + \text{Breadth}^2. $$

- In this rectangle, the diagonal is 20 cm and the breadth is 12 cm.

- Substitute these values into the equation: $$ 20^2 = \text{Length}^2 + 12^2. $$

- Simplify: $$ 400 = \text{Length}^2 + 144. $$

- Subtract 144 from both sides: $$ \text{Length}^2 = 256. $$

- Solve for the length by taking the square root: $$ \text{Length} = 16 \, \text{cm}. $$

- The correct Answer is Option: 2 - 16 cm.

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