Perimeter Of A Parallelogram

Perimeter Of Parallelogram Formula

Maths is one of the subjects where you can actually have fun while still learning and solving problems. You don’t have to keep dates, and long paragraphs in mind in order to find an answer. The answer will show up, if you follow the correct rules and formula, that’s the beauty of Maths. In addition to this, maths is one of the few subjects which are actually used in real life. So, it would be best if you learned it properly.

Today we are going to show you an easy way of finding out the perimeter of Parallelogram with its formula. This article will help you solve the perimeter of the parallelogram problems in just a few minutes. So, ready yourself for fun learning, cause we are not going to bore you with lengthy explanations. 

What Is The Perimeter? 

Now coming to the big question, what is a perimeter and why is it so important that you have to learn in your maths course. It is quite easier to find the perimeter than finding the area of any given shape. 

Let’s break the word perimeter, the first part, ‘Peri’ comes from the Greek word ‘peri,’ which means around. The postfix is a meter which came from Geek word mainly ‘metron’ which means to measure.

Now we are getting somewhere, aren’t we? So if you combine these two meanings, what does it make? It makes ‘around measure,’ that’s what perimeter is all about. 

A perimeter, in easy words, is your boundary that surrounds a shape. Also, you can say it is the length of a given shape’s outline.

We are going to tell you where you can use a perimeter in your life. An excellent example of the perimeter being used in your daily life is when you are playing cricket, your boundary set for sixes and fours is the perimeter of your ground. 

Finding Out The Perimeter Of Parallelogram Using Simple Formula

Well, now let’s talk about some serious stuff. Don’t be worried at all, we are going to teach you the formula of finding out the parallelogram’s perimeter in a much easier way. 

As you know, we use a ruler to find out the length of the sides of small regular shapes, and it could be a rectangle, square, and even a parallelogram. All you need to do is add the opposite sides that are of the same length to find out the perimeter. 

A parallelogram doesn’t matter how big or small it is, or its angle in between, every parallelogram has four sides to it. 

From the given image we can see a parallelogram having sides of length A and base with a length B.

Now, as we said, the perimeter is the addition of lengths from all the sides of a given shape.

Here we have a Parallelogram with two base (B) and two sides (A).

Thus,

Perimeter = Base(a)+Base(b)+Side(a)+Side(b)

Perimeter = B(a)+B(b)+A(a)+A(b)

*We know in a parallelogram the sides and the base are of equal lengths, so we can make the formula a bit more simple.

Perimeter = 2(Base+Sides)

Perimeter = 2(B+A)

Yes, that’s it, you are done, my friend, the perimeter of parallelogram formula is 2(Bases+Sides). It isn’t that difficult, once you know how the formula came up. We hope now you are ready to solve some problems on your own. 

Solved Example 

Let’s try to solve the example to understand better how the perimeter of the Parallelogram formula applies for class 8 mathematics problems and works in real-time.

Example:- Given a parallelogram has 25 cms of length and width is 30 cms, now find out the perimeter of a given parallelogram in centimeters. 

Answer:- Length = 25 cms, Breath/Width = 30 cms

The formula of the perimeter of parallelogram = 2(Length+Breadth).

Perimeter = 2(25+30), putting the values in the formula.

Perimeter = 2(55), adding the values in the brackets and then multiplying it with 2 according to BODMAS. 

The perimeter is = 110 Cms.

Difference Between Area And Perimeter Of Parallelograms

An area of a shape is used to find out how much space or region a closed figure has occupied. On the other hand, if you look for the perimeter of a shape, you are trying to find out the distance around a closed figure. 

For example, when you were playing cricket in an open field, the area is the amount of land on which you play, and the length of your cricket ground boundary is the perimeter of your ground.

FAQ (Frequently Asked Questions)

1. Why Do You Need to Learn About Perimeter? 

Perimeter is one of the basic formulas of mathematics after you are done with multiplication, addition, and division. The next big thing for a student is the shapes, you need to learn the area and perimeter of a parallelogram. The area and perimeter of parallelogram formula are one of the simplest formulas which you are ever going to find in your mathematics books, and when it comes to your exam, it’s more like free marks for you. 

The shape of the object doesn’t matter, as long as it is enclosed, you can find its perimeter without having any issues.

2. Where Can We Use Perimeter in Real-Life Scenarios? 

A perimeter is your total distance covered by the object or shape, a great example in which you need to find out the perimeter in real life is when your father is thinking about fencing a plot which he just bought. You can help your father by asking him for the length and the breadth of the plot and apply the perimeter of the parallelogram formula to find the cost of fencing.

Length of a plot = 40 meters.

Breath/ Width of a plot = 30 meters.

The perimeter of a plot will be = 2(Length + Breadth)

 = 2 (40+30)

            = 2(70)

             = 140 meters 

Now, to find out the amount of fencing, you need to multiply the fence amount of 1 meter to your perimeter, and you are done.

The 1-meter fence amount is 30 Rs. 

For 140 meters the fence amount will be = 30 X 140 meters.

Final amount will be = 5,200 Rs