Area of a Parallelogram
The primary goal of this article is to provide a comprehensive guide that will enable you to understand and apply the definition of the area of a parallelogram.
![Area of a Parallelogram](https://www.effortlessmath.com/wp-content/uploads/2023/02/Definition-of-the-Area-of-a-Parallelogram-512x240.jpg)
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 the same as 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?
![](https://www.effortlessmath.com/wp-content/uploads/2023/02/z-1.jpg)
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?
![](https://www.effortlessmath.com/wp-content/uploads/2023/02/zz-1.jpg)
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→\(A=b×h→A=9×4=36\)
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