Pls answer ASAP!! The area of a rhombus is 96 cm squared The longer diagonal is 16 cm long - Maths -

Question

Pls answer ASAP!! The area of a rhombus is 96 cm squared The
longer diagonal is 16 cm long Find the perimeter of the rhombus

Aakash Sharma · Accepted Answer

Given: AC = 16 cm and Area of rhombus ABCD = 96 cm2 $\Rightarrow \frac{1}{2} \times AC \times BD = 96 {cm}^{2} \Rightarrow \frac{1}{2} \times 16 cm \times BD = 96 {cm}^{2}$ â‡’ BD Ã— 8 cm = 96 cm2 $\Rightarrow BD = \frac{96}{8} cm = 12 cm \Rightarrow AO = \frac{1}{2} AC = \frac{1}{2} \times 16 cm = 8 cm and DO = \frac{1}{2} BC = \frac{1}{2} \times 12 cm = 6 cm$ Now in right âˆ† AOD AD2 =AO2 + DO2 = (8 cm)2 + (6 cm)2 = 64 cm2 + 36 cm2 = 100 cm2 $\Rightarrow AD = \sqrt{100 {cm}^{2}} = 10 cm$ Hence perimeter of rhombus = 4 Ã— AD = 4 Ã— 10 cm = 40 cm

Pls answer ASAP!! The area of a rhombus is 96 cm squared. The longer diagonal is 16 cm long. Find the perimeter of the rhombus.