Question

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

Answer 1

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

So,

Perimeter $=4a$

$260=4a$

$a=\frac{260}{4}$

$a=65cm=0.65m$

Height of rhombus $=10cm=0.1m$

So,

Area of rhombus $0.65\times 0.1$

$0.0650m^2$

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 diagonal are given $=\frac{1}{2}\times$ (Product of length of two diagonals)

$\frac{1}{2}(d\times 0.25)=0.065$

$d=\frac{0.065\times 2}{0.25}$

$d=0.52m$

Therefore length of the other diagonal is 0.52 m.