In geometry, a parallelogram is a quadrilateral with the two pairs of parallel sides. In Euclidean Geometry, the opposites or facing sides of a parallelograms are of equal length and the opposite angles of a parallelogram are of equal measure. The congruences of opposite sides and opposite angles are a direct consequence of the Euclidean Parallel Postulate and neither condition can be proven without appealing to the Euclidean Parallel Postulate or one of its equivalent formulations. The three-dimensional counterparts of a parallelogram is a parallelopiped. (Source.Wikipedia)
Paraellogram with Equal Sides are Square and Rhombus:
Area of parallograms A = b * h sq. units
where h is the perpendicular height of the parallelogram.
b is the base length of the parallelogram.
Examples for Parallelogram with Equal Sides:
Find the area of the rhombus whose base is 150cm and the perpendicular height will be equal to 150cm.
Area = b*h
Find the area of a parallelogram with a base of 12 centimeters and a height of 15 centimeters.
A= (12 cm) · (15 cm)
A= 180 cm2
Find the area of a parallelogram with a base of 8 inches and a height of 14 inches.
A= (8 in) · (14 in)
A= 112 in2
The area of a parallelogram is 30 square centimeters and the base is 60 centimeters. Find the height.
30 cm2 = (60 cm) · h
30 cm2 ÷ (60 cm) = h
h= 0.5 cm
The area of a parallelogram is 100 square centimeters and the base is 50 centimeters. Find the height.
100 cm2 = (50 cm) · h
100 cm2 ÷ (50 cm) = h
h= 2 cm.
These are the examples on parallelogram with four equal sides.