Thursday, 12 October 2017

what is perimeter and area

Area:


Area is defined as the indicated number of square unites needed to fill a region on a flat surface or simple figure.  For rectangle, the area is computed by multiplying its length and width. The rectangle has length of 4 units and width of 8 units, then the area of this rectangle is equal to 32 square units. It means that 32 squares are required to fill this region. 



Perimeter:

Perimeter is defined as the whole distance around the exterior on a flat surface. It is the total length of the boundary that enclosed the interior region. 





Let solve different examples which help to understand area and perimeter.

1 1-      A square having 7 m side. Find the area of the square.

We know that the sides of a square is equal in length that why,
Length of square = width of square,
So the area of square = length x length or side x side
Area of square = 7m x 7m = 49 m2

2 2-       The length of the side of pentagon is 50 cm find its perimeter in meter.

First of all we convert cm into meter
We know that 1 meter is equal to 100 cm
So,
50 cm= 50/100m=0.5m

Let’s find the perimeter of pentagon.
 We know that pentagon has 5 sides and all sides are equal in length.
Suppose the side of pentagon is x then,
                                                                                                                          Value of side= x = 0.5 m
 Perimeter = x+x+x+x+x                                                   
Perimeter=0.5m + 0.5m + 0.5m + 0.5m + 0.5m = 2.5m.

3 3-      The area of a square field is 121 m2. Find the length of a side of a square.

Suppose the side of square be y
We know that area of square= side x side=y x y 
Area = y2
                                                                                     Put the value
121m2 =y2                                       

121  =  y2                                                Now root on both side

11 = y

The length of the side of square is 11 m


For father details
https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/perimeter-and-area-basics                   
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