Area of Parallelogram

Parallelogram In a parallelogram, The opposite sides are parallel. The opposite angles are equal. The opposite sides are equal. The diagonals are not equal. The diagonals bisect each other. Any side of a parallelogram can be chosen as base of the parallelogram. The perpendicular dropped on that side from the opposite vertex is known as height (altitude). Height Base

Formula for finding the area of a parellelogram Is the area of the parallelogram equal to the area of the rectangle formed? Yes, Area of the parallelogram = Area of the rectangle formed   We find that the length of rectangle(l) =base of the parallelogram (b) and breadth of rectangle(b) =height of the parallelogram(b) We know that Area of rectangle = (length × breadth) sq. Units ∴ Area of parallelogram = (base × height) sq. Units = b x h sq units Area of parallelogram = b x h sq units Height(h) Base(b)

Area of a parallelogram = 48 m2 Example: Find the area of the following figure Solution: Given: Base = 6 m Height = 8 m; To find: Area Area of a parallelogram = b x h sq units = 6m x 8m = 48 m2 Area of a parallelogram = 48 m2

Try These 1. Find the area of a parallelogram whose base = 11cm and height = 20cm 2. Find the area of a parallelogram whose height = 7m and base = 15m