**Introduction for shape of quadrilateral:**

In this article we see about the shape of a quadrilateral, a quadrilateral is a polygon figure with 4 sides. Square, rectangle, rhombus, parallelogram, trapezoid and kite are the shape of quadrilaterals. We can find area and volume of all the shape of quadrilaterals. Area of quadrilateral is measured in square units and volume is measured in cubic units.

Let us see some shapes of quadrilateral

Square: All the 4 sides are equal; all the angles are right angles.

Rectangle: Both opposite sides are equal, all the angles are right angles.

Rhombus: All the 4 sides are equal; opposite angles are equal.

Parallelogram: Both opposite sides are equal, opposite angles are equal.

Trapezoid: One pair of opposite sides is parallel and the base angles are equal in measure.

Kite: Two pairs of adjacent sides are equal; angles between the two pairs of equal sides are equal.

To find area for quadrilateral shape:

Area of square = a2 (a =side)

Area of rectangle = lb (l = length, b = breath)

Area of rhombus = ba (b = base, a = altitude)

Area of parallelogram = al (a = altitude, l = length)

Area of trapezoid = ½ (b1 + b2)h (h = height, b1 = base 1, b2 = base 2)

Area of kite = Area triangle of 1 + Area of triangle of 2

Area of triangle = ½ bh (b = base, h = height)

**Example 1:**

Find area of the shape parallelogram, whose length is 7m and altitude is 6m

**Solution:**

Given: a = 6m, l = 7m

Area of parallelogram = a × l

= 6 × 7

= 42m^{2}

**Example 2:**

Find area of the kite ABCD where h1 = 12cm, h2 = 10cm and base = 6cm.

**Solution:**

Given: h1 = 12cm, h2 = 10cm and b = 6cm.

Area of the kite = Area triangle of 1 + Area of triangle of 2

Area of triangle ABD = 1/2 × b × h

= 1/2 × 6 × 12

= 36cm^{2}

Area of triangle BCD = 1/2 × 6 × 10

= 1/2 × 60

= 30cm^{2}

Area of kite shape = 36 + 30

= 66cm^{2}