Question

If the product of the diagonals of the rhombus is 96 $c{m}^2$ and the length of one of the diagonal is 6 cm, then find the length of the other diagonal and the area of the rhombus.

• A. 16 cm, 48 $c{m}^2$
• B. 48 cm, 16 $c{m}^2$
• C. 48 cm, 96 $c{m}^2$
• D. 96 cm, 48 $c{m}^2$

Answer 1

The correct option is A 16 cm, 48 $c{m}^2$

Area of rhombus is half of the product of diagonals
Area of rhombus = $\frac{1}{2}\times$(96) = 48 $c{m}^2$


Product of diagonals = $d_1\times d_2$ = 96 cm

$d_2$ = $\frac{96}{6}$ = 16 cm