Menusuration
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MENUSURATION. INTRODUCTION. Menusuration is the study of lengths, perimeters and areas of different shapes. Menusuration deals with rectangles, squares,curves , circles, lines etc. Menusuration is very important in the world of maths and this makes up almost most of the basic geometry.

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Menusuration

MENUSURATION


Introduction

INTRODUCTION

  • Menusuration is the study of lengths, perimeters and areas of different shapes.

  • Menusuration deals with rectangles, squares,curves, circles, lines etc.

  • Menusuration is very important in the world of maths and this makes up almost most of the basic geometry.


Figures

FIGURES

How can we classify

different shapes?


Menusuration

SHAPES

Closed

figures

Open

figures


Closed figures

CLOSED FIGURES

  • Closed figures are figures which when drawn starts and ends at the same point.

  • Some examples are square, circle, rectangle etc.


Open figures

OPEN FIGURES

  • Open figures are the figures which when drawn will start and end at different points.


Menusuration

A

B


Perimeter

PERIMETER

  • Perimeter is the length of the boundary around a closed figure.


Perimeter1

PERIMETER

Hey, can you guys find the perimeter of my land ?

  • Suppandi’s plot’s perimeter= 11+12+11+12

    = 46 c.m


Menusuration

  • Let us now find the

    perimeter of this

    figure:

    as,

    perimeter is the sum of all sides

    of a shape,

    Here: perimeter = 4c.m+4c.m+8c.m+8c.m

    = 24 c.m


Perimeter of rectangle

Perimeter Of Rectangle

II wonder if there is any easy method to find the perimeter of a rectangle, like of a chess board.


Menusuration

  • From this example we can see that

    perimeter of

    rectangle is equal

    to twice the sum

    of its length and

    bredth.

    so,

    Perimeter of rectangle= length+length+

    bredth+bredth

    = 2 length+ 2 bredth

    =2 (l+b)


Perimeter of square

PERIMETER OF SQUARE

So finding the perimeter of square will also be easy because we only have to double the length of one side of the square. Isn’t it?

Yeah it might be so!!!!! but

I am not sure.


Menusuration

  • PERIMETER OF SQUARE

    When length of one side of square= 4 c.m

    = 4+4+4+4

    = 2(4+4)

    =4 x side

SQUARE


Perimeter of equilateral triangle

Perimeter of equilateral triangle

“Dudes, she does not know how to find the perimeter of an equilateral triangle. I hope you know??? ”


Menusuration

To find the perimeter of an equilateral triangle we just have to add all the 3 sides of it, or as

the equilateral triangle have all its sides equal we can multiply the length of side by 3.

Perimeter of equilateral triangle

= 3 x length of one side.

EQUILATERAL

TRIANGLE


Menusuration

AREA

  • Area is the total surface present inside a figure.

  • Area’s unit is (m2)


Area of a rectangle

AREA OF A RECTANGLE

I wonder what is the formula for finding the area of a rectangle?

I will ask Hermione.


Menusuration

Area of a rectangle = length x breadth


Menusuration

  • Area of a rectangle = length x breadth

  • Here if,

    length of rectangle=4 c.m and if

    breadth of rectangle=5 c.m then

    area of rectangle= 4x5 = 20 c.m2

RECTANGLE


Area of square

AREA OF SQUARE

Will someone tell me the formula to find the area of a square?

I don’t know how to find the area of one side of a dice, which is a square.


Menusuration

  • Area of a square = side x side.

    Here area of square

    = side x side

    = 5c.m x 5c.m

    = 25c.m2

SQUARE


Area of triangle

AREA OF TRIANGLE

Do you know how to find the area of a triangle? Such as a side of a pyramid.


Area of triangle1

AREA OF TRIANGLE

  • Area of a triangle = 1 breadth x height

    2

    Here, if breadth = 2c.m

    and height = 2c.m then,

    area = 1 x 2 x 2

    2

    =2 c.m2


Regular shapes

REGULAR SHAPES

  • Regular shapes have all its sides of equal length and all its angles of equal magnitude.

Yes, my silly old bear because if a rectangle have all its sides and angles equal then it will become a square.

My garden is a square plot, can I call it as a regular rectangle?


Questions

QUESTIONS

So guys can you tell me the area of a triangle with breadth 8 c.m and height 4 c.m?

Q1.)

  • Ans: 16 Area of triangle= 1 x 8 x 4

    2

    = 1 x 32

    2

    = 16c.m2


Menusuration

Tell me the formula for finding the area of a triangle?

Q2.)

Ans: area of a triangle = 1 x breadth x height

2


Menusuration

Find the height of a triangle of area 6 and breadth 2?

  • Q3.)

    Ans:6 c.marea of a triangle= 1 x b x h

    2

    height= area x 2 = 6 x 2

    b 2

    = 6 c.m


Menusuration

Can you tell me, what is meant by regular shapes?

Q4.)

Ans: Regular shapes have all sides equal and all angles also equal.


Menusuration

Hey could you tell us the area of a square with one side=12 c.m?

  • Q5.)

  • Ans: Area of square = side x side

    = 12 x 12

    = 144c.m2


Menusuration

Tell me if I can call a rectangle as a regular square.

  • Q6.)

  • Ans: No, it is not possible to call a rectangle as a regular square because a regular square will have all its sides and angles equal and it is not a rectangle. But a regular rectangle can be called as a square.

No, it is not possible.


Menusuration

Are there figures like regular Hexagon?

  • Q7.)

  • Ans: There are figures like regular Hexagon because a hexagon which has all its sides and angles equal are known as a regular shape.


Menusuration

Find the perimeter of the following figure?

  • Q8.)

  • Ans:

    Perimeter = 2+5+4+1+4+5+2+5+4+1+4+5

    = 42 c.m


Menusuration

Can you guys tell me the exact area of a triangle with base 12.5 c.m and height 10 c.m?

  • Q9.)

  • Ans: Area of triangle = 1 x b x h

    2

    = 1 x 12.5 x 10

    2

    = 125 = 62.5 c.m2

    2

I know how to do it.


Menusuration

Hey can you tell me the number of presents I have if it is the same number as the length of a rectangle with area 26 and breadth 2?

  • Q10.)

  • Ans: Area of rectangle= length x breadth = 26

    26= length x 2

    length = 26

    2

    = 13

    Santa has 13 presents with him


Main points

Main points

  • All figures can be divided into two as open and closed figure.

  • Perimeter is the sum of all sides of the boundary of a figure.

  • Perimeter of rectangle = 2(l+b)

  • Perimeter of square = 4 x side

  • Perimeter of equilateral triangle = 3 x side

  • Area is the amount of surface present inside a figure.

  • Area of rectangle = length x breadth

  • Area of square = side x side.

  • Area of triangle = 1 x b x h

    2

    Regular shapes have all its sides and angles equal


Menusuration

THE END


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