The area of quadrilateral is 336 m2 and the perpendiculars drawn to one diagonal from the oppos...........

Quantitative Aptitude (CHSL) Mensuration 2D

The area of quadrilateral is 336 m² and the perpendiculars drawn to one diagonal from the opposite vertices are 16 m and 12

m long. Find the length of this diagonal.

This questions was previously asked in

SSC CHSL 10th June 2022 Shift-1

28 cm

26 cm

21 cm

24 cm

- We have a quadrilateral where the area is 336 m².

- There is a diagonal in the quadrilateral from which perpendiculars of lengths 16 m and 12 m are drawn from the opposite vertices.

- The area of the quadrilateral can be calculated using the formula:

- Area = 1/2 * (diagonal) * (sum of the perpendiculars).

- By using the given numbers:

- 336 m² = 1/2 * (diagonal) * (16 m + 12 m).

- Simplifying, 336 m² = 1/2 * (diagonal) * 28 m.

- Thus, (diagonal) = (336 m² * 2) / 28 m = 24 m.

- Therefore, the correct length of the diagonal is 24 m.

- Option: 4 - 24 cm

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