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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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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?


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.


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


  • 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.


  • 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.


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??? ”


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


AREA have to add all the 3 sides of it, or as

  • Area is the total surface present inside a figure.

  • Area’s unit is (m2)


Area of a rectangle
AREA OF A RECTANGLE have to add all the 3 sides of it, or as

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

I will ask Hermione.


Area of a rectangle = have to add all the 3 sides of it, or aslength x breadth


  • Area of a rectangle = have to add all the 3 sides of it, or aslength 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 have to add all the 3 sides of it, or as

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.


  • Area of a square = have to add all the 3 sides of it, or asside x side.

    Here area of square

    = side x side

    = 5c.m x 5c.m

    = 25c.m2

SQUARE


Area of triangle
AREA OF TRIANGLE have to add all the 3 sides of it, or as

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


Area of triangle1
AREA OF TRIANGLE have to add all the 3 sides of it, or as

  • 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 have to add all the 3 sides of it, or as

  • 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 have to add all the 3 sides of it, or as

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


Tell me the formula for finding the area of a triangle? have to add all the 3 sides of it, or as

Q2.)

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

2


Find the height of a triangle of area 6 and breadth 2? have to add all the 3 sides of it, or as

  • 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


Can you tell me, what is meant by regular shapes? have to add all the 3 sides of it, or as

Q4.)

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


Hey could you tell us the area of a square with one side=12 have to add all the 3 sides of it, or asc.m?

  • Q5.)

  • Ans: Area of square = side x side

    = 12 x 12

    = 144c.m2


Tell me if I can call a rectangle as a regular square. have to add all the 3 sides of it, or as

  • 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.


Are there figures like regular Hexagon? have to add all the 3 sides of it, or as

  • 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.


Find the perimeter of the following figure? have to add all the 3 sides of it, or as

  • Q8.)

  • Ans:

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

    = 42 c.m


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.


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 the same number as the length of a rectangle with area 26 and breadth 2?

  • 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


THE END the same number as the length of a rectangle with area 26 and breadth 2?


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