How to Calculate and Solve for the Area and Length of a Parallelogram | The Calculator Encyclopedia

The image above represents a parallelogram.
To compute the area of a parallelogram requires two essential parameters which are the base and height of the parallelogram.

The formula for computing the area of a parallelogram is:

A = b x h

Where:
A = Area of a parallelogram
b = base of the parallelogram
h = height of the parallelogram

Let’s solve an example
Find the area of a parallelogram with a base of 12 cm and a height of 4 cm.

This implies that:
b = base of the parallelogram = 12
h = height of the parallelogram = 4

A = b x h
A = 12 x 4
A = 48

Therefore, the area of the parallelogram is 48 cm2.

Calculating the base of a parallelogram when Area and Height is Given

The formula is b = A / h

Where;
A = Area of a parallelogram
b = base of the parallelogram
h = height of the parallelogram

Let’s solve an example:
Find the base of a parallelogram with an area of 40 cm² and a height of 8 cm

This implies that;
A = Area of the parallelogram = 40 cm²
h = height of the parallelogram = 8 cm

b = A / h
b = 40 / 8
b = 5

Therefore, the base of the parallelogram is 5 cm.

Calculating the height of a parallelogram when Area and Base is Given

The formula is h = A / b

Where;
A = Area of a parallelogram
b = base of the parallelogram
h = height of the parallelogram

Let’s solve an example:
Find the height of a parallelogram with an area of 60 cm² and a base of 6 cm

This implies that;
A = Area of the parallelogram = 60 cm²
b = base of the parallelogram = 6 cm

h = A / b
h = 60 / 6
h = 10

Therefore, the height of the parallelogram is 10 cm.

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