**Introduction: **

You have studied many properties of a triangle in fundamental mathematics and you know that on joining three non-collinear points in pairs, the figure so obtained is a triangle. Now, let us mark four points and see what we get on joining them in pairs in a number of orders.

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A quadrilateral is a closed shape in a plane formed in four line segments.

- Where the points A, B, C, D are the vertices of the general quadrilateral.
- `bar(AB)` , `bar(BC)` ,`bar(CD)` ,`bar(DA)` are the sides

- ∟A, ∟B, ∟C, ∟D are the angles
- AC and BD are diagonals
- The sum of the measures of all angles is 360°.

That is, ∟A+ ∟B +∟C +∟D = 360°.

We have seen the quadrilateral and its parts. Now we shall see the special types of quadrilaterals.

**Types of quadrilateral:**

- Trapezium
- Parallelogram
- rectangle
- Rhombus
- Square

**Let see the square quadrilateral square in the following section: **

Ina quadrilateral if all the four sides are the same and if all the angles are right angle after that the quadrilateral is called a square.

Here the sides AC = BD and

the angles ∟A = ∟B = ∟C = ∟D = 90°.

**Discuss :**

- A square is a quadrilateral

- A square is a rectangle

- A rectangle is a parallelogram.

**Let us see some examples of square quadrilateral:**

**Example 1:**

Find the area of square quadrilateral whose side is 3 cm.

**Solution:**

We know that, Area = a^{2} sq.units

Here a = 3 cm

A = 3*3 = 9 cm^{2}

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**Example 2:**

Find the area of a square quadrilateral whose perimeter is 44 cm

**Solution:**

Given Perimeter of the square, P = 44 cm

We know that P = 4a units

i.e 4a = P

A = p/4

Therefore, side of the square ,

a = 44/4 = 11

a = 11

Area, A = a^{2} sq.units

= 11 *11 =121

Therefore, Area = 121 m^{2}