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The diagonals of a rhombus are in the ratio 3 : 4 and its area is 96 sq cm.
Find the length of the longer diagonal (in cm).

Class 8Special ParallelogramsQuadrilaterals

A32
B15
C17
D16

Step-by-Step Solution

Let diagonals 3

k

and 4

k

. Area =

\frac{1}{2}

(3 k) (4 k) = 6 k^{2} = 96 - > k^{2} = 16 - > k = 4

. Longer diagonal =

4 k = 16

cm.

Answer: D) 16

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