Let be the diagonals of the rhombus.
∴ and
Find the area the quadrilateral LMNOP (as shown in the figure).
Diagonal LN = 8 cm
Perpendicular MX = 4.5 cm
Perpendicular OY = 3.5 cm
∵ Sum of the perpendiculars = MX + OY = 4.5 cm + 3.5 cm = 8 cm
∴ Area of the quadrilateral = (A diagonal ) x (Sum of the lengths of the perpendiculars on it from opposite vertices)