Question

one diagonal of a rhombus is greater than other by 4. if the area of rhombus is 96 cm sq. find side of rhombus.

Answer 1

area of rhombus=
$\frac{1}{2} product \: of \: diagonals$
96=1/2 x(x+4)
${x}^{2} + 4x - 192 = 0$
(x+16)(x-12)=0.
diagonal is 12
side=36+64 root.
=10