Question

If the perimeter of a rhombus is 4a and lemgth of its diagonals are x and y , then its area is :

• A. $a(x+y)$
• B. $x^2+y^2$
• C. $xy$
• D. $\frac{1}{2}xy$

Answer 1

The correct option is D $\frac{1}{2}xy$

Diagonals of rhombus are x & y

So Area will be $=\frac{1}{2}$ (product of diagonals)

$=\frac{1}{2}x\times y$

$=\frac{xy}{2}$ sq. units.