The side of a rhombus is 5 cm and one of its diaconal is 8 cm What is the area of the rhombus ........

Quantitative Aptitude (CPO) Geometry

The side of a rhombus is 5 cm and one of its diaconal is 8 cm. What is the area of the rhombus?

This questions was previously asked in

SSC CPO 12th-March-2019-Shift-1

40 cm²

20 cm²

30 cm²

24 cm²

- A rhombus is a quadrilateral with all sides equal.

- Given: side = 5 cm, one diagonal = 8 cm.

- Diagonals of a rhombus bisect each other at right angles.

- Let the lengths of the diagonals be 'd1' and 'd2'. 'd1' = 8 cm, we need to find 'd2'.

- Use the Pythagorean theorem for half-diagonal lengths:

- (d1/2)^2 + (d2/2)^2 = side^2

- (8/2)^2 + (d2/2)^2 = 5^2

- 16 + (d2/2)^2 = 25

- (d2/2)^2 = 9

- d2/2 = 3

- d2 = 6 cm

- Area of rhombus = (d1 * d2) / 2 = (8 * 6) / 2 = 24 cm².

- Correct Answer: 24 cm²

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