A rhombus sheet, whose perimeter is `32 m` and whose one diagonal is `10 m` long, is painted on both sides at the rate of Rs. `5\ p e r\ m^2` . Find the cost of painting.

Explanation

`Perimeter = 32m`
So, length of a side `=32/4=8m`
Diagonal of a rhombus`=10m`
As, we know that,the halves of diagonals and a side of a rhombus from a right angled triangle with side as hypotenuse.
Let the length of the other diagonal `=2x`
`x^2+(10/2)^2=8^2`
`=>x^2=64−25=39`
`x=sqrt39`
The measure of the another diagonal of the rhombus `=2/sqrt(39)m`
`Area=1/2xx10xx2sqrt39`
`A=62.45m^2`
painted on both sides at the rate of Rs 5 per m2
Cost `=2xx62.45xx5`(area of both sides)
`=Rs 624.50`