A closed polygon with two pairs of parallel sides forms a parallelogram. Properties of a parallelogram are
The opposite sides are equal in length and
The opposite angles are equal in measure.
Area of a parallelogram is given by Base x Height = bh. Here height of a parallelogram is perpendicular to the base.
Find the area of the parallelogram whose base is 12m and height is half of base.
Base of a parallelogram = b = 12 m
Height of a parallelogram = h = Half of base
Area of the parallelogram = Base x Height = bh
= 12 x 6 = 72 sq. m
Hence the area of the parallelogram with base 12 m and height 6m is 72 sq. m or 72 m².
The area of a parallelogram is 125 sq. feet. Observe the given figure and find the base of the parallelogram.
Area of the parallelogram = A = 125 sq. feet
From the figure,
Height of the parallelogram = h = 25 feet
We know that,
Area of a parallelogram = Base x Height
A = b . h
125 = b x 25
125 = 25 b
Therefore the base of the parallelogram = b = 5 feet.