Parallelogram Formula

Geometric shape with two opposite sides and opposite angles are equal is defined as a parallelogram. This is called a parallelogram when the image is in two dimensional and if the image is a three dimensional, then it is termed as a parallelepiped. Given is the shape of a parallelogram:

ParallelogramThe formula for the area of a parallelogram is,

\[\large Area=b\times h\]

The formula for the perimeter of a parallelogram is,

\[\large Perimeter=2\left(a + b\right)\]

Where b is the base and h is the height of a parallelogram. Also, a is the side adjacent to the base.

Solved Example

Question: Calculate the area and perimeter of a parallelogram whose base length, adjacent side and height is 5 cm, 4 cm and 11 cm respectively.


The given parameters are:
Base length, b = 5 cm

Adjacent side, a = 4 cm
Height, h = 11 cm

The equation for area of a parallelogram is:

Area = b $\times$ h
Area = 5 $\times$ 11 = 55 cm2

Perimeter of a parallelogram is given by:
Perimeter = 2(a + b)
Perimeter = 2(4 + 5) = 2 × 19 = 18 cm


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