4th standard chapter 1 question answer

 

 

MATHEMATICS

ENGLISH MEDIUM 

4 

FOURTH STANDARD

PART-1

CHAPTER-1

Perimeter And Area Of Simple

Geometrical Figures

 

 

Chapter - 1

Perimeter and area of

simple geometrical figures

The sum of length of all the sides of

 a geometrical figure is called its perimeter.

Exercise:  1.1

Find the perimeter of following

 geometrical figures.

                        1.

 

Ans:   given EF=3CM, FG=5CM,

GH=7CM, HI=5CM, IE=4CM.

Perimeter    =    EF + FG + GH + HI + IE

=   3CM + 5CM + 7CM + 5CM + 4CM

=   24CM

                      2.


Ans:  given JK=8CM, KL=6CM, LM=6CM,

 MN=5CM, NJ=2CM.

Perimeter   =   JK + KL + LM + MN + NJ

=   8CM + 6CM + 6CM + 5CM + 2CM

=   27CM

 

                3.

 

Ans:  given PQ=4CM, QR=2CM, RS=2CM,

 ST=4CM, TU=3CM, UP=3CM.

Perimeter   =   PQ + QR + RS + ST + TU + UP

=   4CM + 2CM + 2CM + 4CM + 3CM +3CM

=   18CM

                  4.

 

Ans:  given WX=7CM, XC=8CM, CN=4CM,

NR=6CM, RM=3CM, MW=2CM.

Perimeter   =   WX + XC + CN + NR + RM + MW

=   7CM + 8CM + 4CM + 6CM + 3CM + 2CM

=   30CM



Ⅱ In list ‘A’ plane figure and in list ‘B’ their

 perimeter are given. Match list ‘A’ with list ‘B’:

 

 

                      A

                       B

                     Answer

1)

 


        

 

 




    a)      20cm

 

 

 

   

 

         



            e)   18cm

2)

 

       

  

 

       



     b)      15cm

 

 

 



   a)      20cm

3)

 

          

 

 

 

          c)   24cm

 

 

 

          

             b)    15cm

4)

 

      

 

 

 



     d)       22cm

 

 

 


  b)        24cm

 

 

e)       18cm

 

 

Exercise1. 2

1)

  


 

Observe the given figure.If its perimeter

 is 24 cm, then what is the length

 of the fourth side (QS)?

Perimeter = 24cm

PQ=10CM, RS= 10CM, PR= 2CM, QS=?

Sum of given side = PQ + RS+ PR

= 10CM + 10CM + 2CM = 22CM

Length of the four side = perimeter - sum of given side

= 24cm – 22cm

= 2cm

QS =2CM.

 

2)



          In the figure, the measurements of

        four sides are given. If the perimeter is 

 24cm, then find the length of remaining side.

Perimeter=24cm

AE= 3CM, EB= 4CM, CD= 8CM, AC= 4CM, BD=?

Sum of all side = AE + EB + CD + AC

= 3CM + 4CM + 8CM + 4CM = 19CM

Length of the five side = perimeter -sum of all sides

= 24cm - 19cm = 5cm

BD = 5CM.

 

 

 

3)



In the figure the length of one side is 7cm.

 if all the side are equal, then find its

 perimeter.

Perimeter = 7cm + 7cm + 7cm + 7cm

=28cm

KLMN = 28CM.

 

The space or the region bound by a given

 closed figure is called its area.


In general area is expressed in square unit.


Exercise 1.3


                   I            On the graph sheet given, the area of each square 

         is 1 sq cm. Find the area of the given shapes.


1)

 

 

Totally there are 5 squares.

 

Area of given shape = 5 sq cm

 

2)


 

 

 

Totally there are 21 squares.

 

Area of given shape = 21 sq cm

3)


 

 

Totally there are 20 squares.

 

Area of given shape = 20 sq cm

 

4)



 

Totally there are 16 squares.

 

Area of given shape = 16 sq cm

5)

 



 

Totally there are 12 squares.

 

Area of given shape = 12 sq cm

 

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