A Parallelogram is a 2-D figure which is used in the Mensuration. The Area and Perimeter of the Parallelogram are similar to the area and perimeter of the rectangle. Learn the basic formulas of Parallelogram with the help of this article. Scroll down this page to know the formulas of Area and Perimeter of Parallelogram with solved problems.
Before learning the formulas we suggest the students to know what is a parallelogram. A parallelogram is a regular polygon with four sides and four angles. Get the properties, formulas from the below section.
Area and Perimeter of Parallelogram
Area of Parallelogram:Â The area of the parallelogram is the product of base and height. It is used to measure the region occupied by the parallelogram. The units to measure the area of the parallelogram is square units.
Perimeter of Parallelogram:Â The perimeter of the parallelogram is defined as the sum of all four sides. The units to measure the perimeter of the parallelogram is units.
Properties of Parallelogram
- The diagonals of the parallelogram bisect each other.
- Opposite sides of the parallelogram are congruent.
- If one of the angles is the right angle then all the angles are right.
- Opposite angles are congruent.
Formulas for Area and Perimeter of Parallelogram
The area of the parallelogram is the product of base and height.
Area = b × h
Where,
b = base
h = height
The perimeter of the parallelogram is the sum of the four sides.
P = a + a + b + b
P = 2a + 2b
P = 2(a + b)
Where,
a and b are the lengths of the parallelogram.
Solved Examples on Area of Parallelogram
1. Find the area of the parallelogram if the base and height are 12m and 10m?
Solution:
Given,
b = 12m
h = 10m
We know that,
Area of the Parallelogram = b×h
A = (12m)(10m)
A = 120 sq. meters
Therefore the area of the parallelogram is 120 sq.m
2. Find the perimeter of the parallelogram if the sides are 5 cm and 4 cm.
Solution:
Given,
a = 5 cm
b = 4 cm
We know that,
The perimeter of the parallelogram is 2(a + b)
P = 2(5 cm + 4 cm)
P = 2(9 cm)
P = 18 cm
Thus the perimeter of the parallelogram is 18 cm.
3. Find the height of the parallelogram if the base is 14m and Area is 112 sq. meters.
Solution: Given,
b = 14m
A = 112 sq. m
Area of the Parallelogram = b×h
112 sq. m = 14 × h
h = 112/14
h = 8 meters
Thus the height of the parallelogram is 8 meters.
4. Find the length of the parallelogram whose base length is 6m and the perimeter is 16m.
Solution:
Given,
a = 6m
b =?
P = 16m
Perimeter of the Parallelogram = 2(a + b)
16m = 2(6 + b)
16/2 = 6 + b
8m = 6m + b
b = 8m – 6m
b = 2m
Thus the length of the parallelogram is 2 meters.
FAQs on Area and Perimeter of the Parallelogram
1. What is the formula for area and perimeter of the parallelogram?
Area of the parallelogram = bh
Perimeter of the parallelogram = 2(a + b)
2. How to find the perimeter of the parallelogram?
The perimeter of the parallelogram can be found by adding the sides of the parallelogram i.e, a + a + b + b.
3. What is the height of the parallelogram?
The height of the parallelogram is the distance between the opposite sides of the parallelogram.