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SSC CGL 2021 PYQ — Question 63

SSC CGL - 13 Aug 2021 - Shift 1 • Quantitative Aptitude • Q63

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The length of each side of a rhombus is 13 cm and one of the diagonal is 24 cm. What is the area (in cm2) of the rhombus?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 120

As we know that the diagonals bisect each other.

⇒ AC = 24cm

⇒ OC = 12cm

In △\triangleCOD using Pythagoras theorem,

⇒ CD2 = OC2 + OD2

⇒ 169 = 144 + OD2

⇒ OD = 5cm

⇒ CD = 10cm

Area of rhombus = (1/2) × product of diagonals

⇒ (1/2) × 10 × 24 = 120cm2