Question

Each side of the rhombus is 40 m and its longer diagonal is 48 m, then find the area of rhombus.

• A.
  $1536m^2$
• B.
  $768m^2$
• C.
  $1236m^2$
• D.
  None of These

Answer 1

The correct option is A

$1536m^2$
Here, each side of rhombus = 40 cm. One of the diagonal = 48 m
$a=40,b=40,c=48s=(a+b+c)/2=(40+40+48)/2=64m\text{Area of triangle I}=\sqrt{64(64-40)(64-40)(64-48)}=\sqrt{64\left(24\right)\left(24\right)\left(16\right)}=768m^2\text{Similarly, area of triangle}=768m^2\text{So, area of rhombus}=768m^2+768m^2=1536m^2$

So, option a is correct.