Question:The perimeter of a rhombus is 52 metres and its shorter diagonal is twice as long as the other. The length of its diagonal are : 

A 12 m 
B 18 m 
C 10.4 m 
D 24 m 

+ Answer
D 

+ Explanation
side` = (52/4) m = 13 m,` Half of one diagonal = 5 m.

Let another diagonal = 2x metre. Then,

`x^2 + 5^2 = (13)^2 or x^2 = 144 or x = 12 m.`

:. Longer diagonal = 24 m.

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Irin Moni

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