In mathematics, you may find various shapes such as circles, squares, rectangles, triangles, and so on. Similarly, the parallelogram is a geometrical shape that is covered by parallel sides. The term was excavated from the words of Greek. A parallelogram is also considered a square. There are various types of parallelograms such as rectangle, rhombus, and square. On the basis of their nature, they possess some different properties which separate them from one another. Some basis properties are as follows: opposite sides are parallel and equal to each other, opposite angles are equal to each other, diagonals of a parallelogram divide it into two equal congruent triangles. In this article, we will try to cover some basic concepts such as the area of the parallelogram, perimeter of a parallelogram, and do a brief analysis about it.
What is the Area of Parallelogram?
The space or region which is covered by the parallel sides of a parallelogram in a plane that is two-dimensional can be defined as the area of the parallelogram. The mathematical formula given for the area of a parallelogram is b * h where ‘b’ is considered as the base of the parallelogram and ‘h’ as the height of the parallelogram. For example, if the base is 3 cm and the height is 6 cm, the area will be equivalent to 18 cm square units. The resultant value is always written as square units for the area of a parallelogram. There are other methods as well, some of them are as follows: using the diagonal of the parallelogram and using the side length. In the next few sections, we will cover some calculations based on the area and perimeter of the parallelogram.
Some Calculations Based on Area of Parallelogram
As mentioned above, the formula of area of a parallelogram is given by, a = b * h where b is denoted as base and h represents the height of the parallelogram. Let us solve some examples related to the area of a parallelogram.
Example 1: Find the area of a parallelogram, if the base and height are equivalent to 3 cm and 4 cm respectively?
Solution: Given that,
Base of parallelogram = 3 cm
Height of parallelogram = 4 cm
Using the formula of area of parallelogram = B * H
3 * 4 = 12 cm square units.
Therefore, the area of the given parallelogram is equivalent to 12 cm square units.
Example 2: Find the area of a parallelogram, if the base and height is equivalent to 6 cm and 4 cm respectively?
Solution: Given that,
Base of parallelogram = 6 cm
Height of parallelogram = 4 cm
Using the formula of area of parallelogram = B * H
6 * 4 = 24 cm square units.
Therefore, the area of the given parallelogram is equivalent to 24 cm square units.
Some Calculations Based on the Perimeter of Parallelogram
The formula of the perimeter of a parallelogram is 2 ( a + b ) where a is the sides of the parallelogram and b is the base of the parallelogram. Some examples are mentioned below:
Example 1: Find the perimeter of the parallelogram if the base is 5 units and sides are 3 units?
Solution: Given that,
Base of parallelogram = 5 units
Side of parallelogram = 3 units
Using the formula, 2 ( a + b ),
2 * ( 5 + 3 ),
2 * ( 8 ) = 16.
Therefore, the perimeter of the parallelogram is equivalent to 16 units.
Example 2: Calculate the perimeter of the parallelogram if the base is 6 units and sides are 4 units?
Solution: Given that,
Base of parallelogram = 6 units
Side of parallelogram = 4 units
Using the formula, 2 ( a + b ),
2 * ( 6 + 4 ),
2 * ( 10 ) = 20
Therefore, the perimeter of the parallelogram is equivalent to 20 units.
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