One of the diagonals of a rhombus is double the other...

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One of the diagonals of a rhombus is double the other diagonal. Its area is 25 sq. cm. The sum of the diagonal is ?

A. 10 cm

B. 12 cm

C. 15 cm

D. 16 cm

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & \Leftrightarrow \frac{1}{2}{d_1} \times 2{d_1} = 25 \cr & \Leftrightarrow d_1^2 = 25 \cr & \Leftrightarrow {d_1} = 5 \cr} $$
∴ Sum of lengths of diagonals = (5 + 10) cm = 15 cm

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