Area of a Parallelogram

A step-by-step guide to finding the area of a parallelogram

A parallelogram is a quadrilateral that has two pairs of parallel sides.

The formula for understanding the area of a parallelogram is base times height.
It means A\(=\)bh. This formula is identical to the formula for the area of a rectangle.

The opposite sides of the parallelogram are identical in length.

The opposite angles of the parallelogram are identical in measure.

The sum of all the interior angles in a parallelogram is equal to 360 degrees.

Definition of the Area of a Parallelogram – Example 1

What is the area of this parallelogram?

Solution:
To determine the area of a parallelogram:
Multiply the base by the height. \(12×7=84\)
So, the area of a parallelogram is \(84 ft^2\).
Area\(=\)base\(×\)height\(→A=b×h→A=12×7=84\)

Definition of the Area of a Parallelogram – Example 2

What is the area of this parallelogram?

Solution:
To determine the area of a parallelogram:
Multiply the base by the height. \(9×4=36\)
So, the area of a parallelogram is \(36 cm^2\).
Area\(=\)base\(×\)height→\(A=b×h→A=9×4=36\)