SOLUTION: A field is a shape of rhombus whose one diagnol measure 40m and area is 500m. Find the length of other diagnol. Also find the cost of ploughing the field at rs.2.50 per square mete

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Question 1065900: A field is a shape of rhombus whose one diagnol measure 40m and area is 500m. Find the length of other diagnol. Also find the cost of ploughing the field at rs.2.50 per square meter .
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
One diagonal of the rhombus measures 40m ,
and the surface area of the rhombus is 500m%5E2 .
The area of a rhombus is half of the product of the diagonals:
area%5Brhombus%5D=diagonal%5B1%5D%2Adiagonal%5B2%5D%2F2
40m= one of the diagonals
x = length of the other diagonal
%2840m%29%2Ax%2F2=500m%5E2
%2840m%29%2Ax=2%2A500m%5E2
%2840m%29%2Ax=100m%5E2
x=1000m%5E2%2F%2240+m%22
highlight%28x=25m%29
Here is what the rhombus would look like inside a rectangle: