### Square Properties

Square shortcut tricks are very important thing to know

Before doing anything we recommend you to 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 Square Properties 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. This time you will surely see improvement in your timing. But this is not all you want. You need more practice to improve your timing more.

### Few Important things to Remember

You all know that math portion is very much important in competitive exams. That doesn’t mean that other topics are less important. But only math portion can leads you to a good score. You can get good score only by practicing more and more. All you need to do is to do math problems correctly within time, and only shortcut tricks can give you that success. But it doesn’t mean that you can’t do math problems without using any shortcut tricks. You may do math problems within time without using any shortcut tricks. You may have that potential. But so many other people may not do the same. So Square shortcut tricks here for those people. 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 help will help others.

**What is square?**

In a geometry, Square is a regular quadrilateral and This means that it has **four equal sides** and four equal angles Each angle is holds **90-degree angles, **or right angles of** each facing side is equal **to the opposite side and the square 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.

**Square Properties**

The two adjacent sides have equal length of Rectangle.

If the length of a rectangle as L of each side then,

**a : Area of Square = 4L ^{2}** or ( side )2 = 1 / 2 = ( Diagonal ) 2.

The area can also be calculated using the diagonal d according to

**A = D**

^{2}/ 2

**Perimeter of a Square = 4L or 4 x Side .**

The circumference *R*, the area of a square is

**A = 2R ^{2}**

**b :** A room has four wall and its Area of 4 wall is 2 x ( Length + Breadth ) x Height.

**c :** Area of parallelogram = ( Base x Height ).

**d :** Area of a rhombus = 1 / 2 x ( product of diagonals ).

### Example #1

The area of rectangle is 720 cm^{2}, that is 80% of the area of a square. Find perimeter of the square?

- 100 cm
- 120 cm
- 140 cm
- 160 cm

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (B)

**How to Solve**

80% of the area of a square is 100 x 720 / 80 = 900cm

^{2}.

Side of square is =√900 = 30cm.

Perimeter of square is = 30 x 4 = 120 cm.

**Rough Workspace**

### Example #2

The area of square is fourth the area of a rectangle. If the area of the square is 256 sq.cm and the length of the rectangle is 16 cm, then what is the difference between the breadth of the rectangle and the side of the square?

- 12 cm
- 16 cm
- 22 cm
- 29 cm

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**Answer:**Option (A)

**How to Solve**

Area of square = 256 sq.cm

Side = 16 cm.

Area of rectangle = 256 / 4 = 64 cm^{2}

l x b = 64

16 x b = 64

b = 4 cm.

Difference between breadth of the rectangle and the side of the square = (a – b) = (16 – 4) = 12 cm.

**Rough Workspace**

### Example #3

If the length of the diagonal of a square is 6 meter, then what is length of it’s each side?

- 3√2
- 2√3
- 3√4
- 4√2

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**Answer:**Option (A)

**How to Solve**

Side = Diagonal / √2

6 x √2 / √2 x √2

= 3√2.

**Rough Workspace**

### Example #4

The area of a rectangle is 18 meters 2 decimeters long and 15 meters 3 decimeters wide. What would be the area of square?

- 205.27 sq.meters
- 237.83 sq.meters
- 257.86 sq.meters
- 278.46 sq.meters

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**Answer:**Option (D)

**How to Solve**

Length = 18.2 meters.

Breadth = 15.3 meters.

So, the area of square is ( Length x Breadth ) = 18.2 x 15.3 = 278.46 square meters.

**Rough Workspace**

### Example #5

A hall room has the floor which is 30 meters long and 10 meters broad. So, how many meters of cotton carpet of 75 cm wide will be required to cover the room of hall and how much amount will require to be spent on cotton carpet if available at Rs.25/- per meters?

- Rs.6500/-
- Rs.8000/-
- Rs.10000/-
- Rs.12000/-

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (C)

**How to Solve**

Length required = ( length of room x breadth of room / width of carpet )

= ( 30 x 10 / 75 )

= 400.

Amount = rate per meter x ( length of room x breadth of room / width of carpet )

= 25 x ( 30 x 10 / 75 )

= 25 x 400

= 10000.

**Rough Workspace**

### Different types of Square Properties with Shortcut Tricks

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

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