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 cm ^{2}**.

**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**.