Question

The area of a diagonal
rhombus is 99 cm . If one of
a 18 cm , find the length of the other diagonal​

Answer 1

Area of rhombus = $\sf 99 cm^2$

Length of one diagonal = 18 cm

Length of another diagonal = ?

Formula for area of Rhombus = $\sf \frac{d_1 d_2}{2}$

$\sf d_1 = 18cm \\ \sf d_2 = ?$

So,

$\sf \therefore 99cm^2 = \frac{18 \times d_2}{2} \\ \sf \implies 99 \times 2 = 18 \times d_2 \\ \sf \implies 198 = 18 \times d_2 \\ \sf \implies d_2 = \frac{198}{18} \\ \sf \implies \bf d_2 = 11 cm$

Hence, the length of another diagonal is 11 cm.