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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

• 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

How can we classify

different shapes?

SHAPES

Closed

figures

Open

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

A

B

### PERIMETER

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

### 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

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

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.

• 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

“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

• Area is the total surface present inside a figure.

• Area’s unit is (m2)

### AREA OF A RECTANGLE

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

Area of a rectangle = length x breadth

• Area of a rectangle = length x breadth

• Here if,

length of rectangle=4 c.m and if

area of rectangle= 4x5 = 20 c.m2

RECTANGLE

### 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.

• 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

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

### AREA OF TRIANGLE

• Area of a triangle = 1 breadth x height

2

and height = 2c.m then,

area = 1 x 2 x 2

2

=2 c.m2

### 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

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?

Q2.)

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

2

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

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

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 c.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.

• 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?

• 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?

• 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

• 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