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Question

The area of a rhombus is 240 cm2 and one of the diagonals is 16 𝑐𝑚. Find the other diagonal.

A
15 𝑐𝑚
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B
24 𝑐𝑚
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C
30 𝑐𝑚
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D
12 𝑐𝑚
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Solution

The correct option is C 30 𝑐𝑚
Given, the area of the rhombus =240 cm2
12 × (𝑝𝑟𝑜𝑑𝑢𝑐𝑡 𝑜𝑓 𝑑𝑖𝑎𝑔𝑜𝑛𝑎𝑙𝑠) =240cm2

Let the other diagonal be 𝑥 𝑐𝑚.
12 × 16×x cm) =240 cm2
x = 240 × 216=30
Hence, the length of the other diagonal is 30 𝑐𝑚.

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