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The diagonals of a rhombus are in the ratio 3 : 4 and its area is 384 sq cm.
Find the lengths of the two diagonals.

Class 8Area of PolygonsMensuration

A24 cm and 32 cm
B12 cm and 16 cm
C18 cm and 24 cm
D30 cm and 40 cm

Step-by-Step Solution

Let diagonals be

3 x

and

4 x

. Area =

\frac{1}{2}

(3 x) (4 x) = 6 x^{2} = 384

, so

x^{2} = 64, x = 8

. Diagonals = 24 cm and 32 cm.

Answer: A) 24 cm and 32 cm

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