Question

how to find area of thombus when pmt and one diagonal is given

Answer 1

divide the perimeter by 4 u will get the side now draw the diagonal u will see a triangle with all three known sides. Find the area using herons formula and just double it.

Answer 2

let ABCD be a rhombus then

perimeter of a rhombus = 4 × side


from here we will get one side


now

as we know that the diagonal create a right angle triangle


therefore


by using Pythagoras theorem



${ab}^{2} \: = {ao}^{2} + {ob}^{2}$


using this formula

we will get the half of the other diagonal


and the diagonals bisect each other
then
2 × half diagonal = diagonal (2 one)


We will get both of the diagonal



and

$area \: = \frac{1}{2} \times d1 \: \times d2$