Question

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Question-The perimeter of a rhombus is 260 cm and its height is 10 cm.If the diagonal is 0.25 cm,find the length of other diagonal in metres.

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Answer 1

Suppose 'a' be the length of each side of rhombus

So,

perimeter =4a

260=4a

a=260/4

a=65cm=0.65m

Height of rhombus =10cm=0.1m

So,

Area of rhombus 0.65×0.1

0.0650m²

Now, length of one diagonal of rhomhus =0.25m

Suppose length of other diagonal is 'd'

And we know that

Area of rhombus when length when length of diagonalare given ½×(Product of length of two diagonals)

½(d×0.25)=0.065

d=0.065×2/0.25

d=0.52m

Therefore length of the other diagonal is 0.52 m.