If the sum of the diagonals of a rhombus is L and the perimeter is 4P, find the area of the rhombus?

A

$$\frac{1}{4}(L^2 - P^2)$$

B

$$\frac{1}{4}(L^2 - 4P^2)$$

C

$$\frac{1}{2}(L^2 - 4P^2)$$

D

$$\frac{1}{4}(L^2 + 3P^2)$$