Friday, June 18, 2010

Rectangle


Introduction:
It is very easy to identify a Rectangle,it is a square figure we can find many objects around us of this shape.
A rectangle is a four-sided polygon and a flat shape with straight sides. Here every angle is a right angle (90 degree). And also opposite sides of rectangles are equal length and parallel.

A crossed rectangle is a complex rectangles, also called a butterfly rectangle or bow-tie rectangle .The rectangles are used to many episodic tessellation patterns, in stonework.



Properties and Formula of rectangles:

A simple rectangle has the following Properties:

* Rectangle is an isogonal..
* In rectangles, the two diagonals are equal in length.
* And also opposite sides are equal in length.
* Rectangle has two lines of rotating symmetry and reflection symmetry of order two.
* The double polygon of a rectangle is a rhombus. It is cyclic and convex.
* All angles are 90 degrees.
* The two diagonals bisect each other.
* Opposite sides are parallel.

Formula:

If a simple rectangle has length l and width w,

* Area A = lw,
* Perimeter P = 2l + 2w = 2(l + w),
* Each diagonal has length √l2+w2
* And when l = w, the rectangle is a square.

Examples of rectangles:

Example 1:

Find the area of rectangles with the given length 5 cm and width 6cm.

Solution:

Area = l * w

= 5 * 6

= 30 cm2

Answer: 30 cm2

Example 2:

Find the Perimeter and Area of rectangles with the given length 8 cm and width 10 cm.

Solution:

Perimeter P = 2(l + w)

Here we can add the values of length and width and multiplied by 2.

=2(8+10)

=2(18)

=36 cm

Area A = l * w

= 8 * 10

= 80 cm2

Answer: 80 cm2

Hope you like the above example of Rectangle.Please leave your comments, if you have any doubts.

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