## Parallelogram Properties

Parallelogram Properties shortcut tricks are very important thing to know for your exams. Time takes a huge part in competitive exams. If you manage your time then you can do well in those exams. Most of us miss this thing. Few examples on parallelogram shortcuts is given in this page below. We try to provide all types of shortcut tricks on parallelogram here. We request all visitors to read all examples carefully. You can understand shortcut tricks on Parallelogram by these examples.

Before starting anything just do a math practice set. Then find out twenty math problems related to this topic and write those on a paper. Do first ten maths using basic formula of this math topic. You also need to keep track of Timing. Write down the time taken by you to solve those questions. Now practice our shortcut tricks on parallelogram and read examples carefully. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of Timing. The timing will be surely improved this time. But this is not all you want. You need more practice to improve your timing more.

### Few basics to Remember

Math section in a competitive exam is the most important part of the exam. It doesn’t mean that other topics are not so important. You can get a good score only if you get a good score in math section. You can get good score only by practicing more and more. The only thing you need to do is to do your math problems correctly and within time, and this can be achieved only by using shortcut tricks. Again it does not mean that you can’t do maths without using shortcut tricks. You may have that potential to do maths within time without using any shortcut tricks.

But, so many people can’t do this. For those we prepared this parallelogram shortcut tricks. We always try to put all shortcut methods of the given topic. But we may miss few of them. If you know anything else rather than this please do share with us. Your little help will help others.

**Parallelogram Properties**

A parallelogram is a simple with two pairs of parallel sides opposite side are equal. The opposite or facing sides of a parallelogram are equal length and the opposite angles of a parallelogram are of equal measure and the properties are follows.

In maths exam papers there are two or three question are given from this chapter. This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam. Under below given some more example for your better practice.

**Parallelogram Properties**

PQRS is a Parallelogram and its Parallelogram Properties is

suppose PQ and RS are equal so we consider pq and rs = a and PR and QS equal so we consider as b.

PS and QR are not equal.

**Area of parallelogram** = ( base x height), base = a and height = b.

Perimeter = 2 x ( a x b ).

### Example #1 – Parallelogram Properties

If the two adjacent sides of a parallelogram are 7 cm and 5 cm respectively. and if the respective 8 cm its diagonal then find the area of parallelogram ?

**Answer :**

We applied formula : 2 s(s-a) (s-b) (s-D)

where S = a+b+D / 2 = 7+5+8 /2 = 10

or, 2(10-7)(10-5)(10-8)

or, 2 3 x 5 x 2

then, 10.96 sq. cm.

So, the required area of parallelogram is =

### Example #2 – Parallelogram Properties

The length of the adjacent side of a parallelogram are 14 Cm and 16 Cm and one diagonal length is 18 Cm then, What would the length of the other diagonal.

**Answer :**

We know that in a parallelogram, the sum of the square of the diagonal is = 2 x ( the sum of the square of the two adjacent sides )

D1 & D2 is diagonal 1 and diagonal 2.

So, D1^{2} + D2^{2} = 2 ( a^{2} + b^{2} )

or, 18^{2} + x^{2} = 2 (14 ^{2} + 16 ^{2} )

or, x^{2}=2(196+256) – 321

then, x^{2} = 904 – 321 = 583.

therefore, x = 24.15 Cm

### Few more Mensuration Methods Rules

- Equilateral Triangle Properties
- Any Triangle Properties
- Rectangle Properties
- Square Properties
- Circle Properties
- Triangle properties
- Miscellaneous Examples
- << Go back to Mensuration Methods Rules main page

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