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Area and Perimeter

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Page 1: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

Area and Perimeter

Page 2: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

Perimeter is the distance around the outside of the object

To find a perimeter we _____ up the ________e.g.

Perimeter = ___ + ___ + ___ + ___ + ___ = ___

Perimeter

Page 3: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

Perimeter is the distance around the outside of the object

To find a perimeter we add up the sidese.g.

Perimeter = ___ + ___ + ___ + ___ + ___ = ___

Perimeter

Page 4: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

Perimeter is the distance around the outside of the object

To find a perimeter we add up the sidese.g.

Perimeter = 6 + 8 + 11 + 12 + 7 = 44

Perimeter

Page 5: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

P= P=

P=

Page 6: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

P= 50 P= 25cm

P= 34m

Page 7: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

Area is the surface an object has. How much flat space it takes up.

Each type of shape has its own rules.

The unit for area is the unit for the side with a squared sign.

cm cm2

m m2

km km2

Area

Page 8: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

Rectangles and squares follow the basic rule about area.

AREA = WIDTH x HEIGHT 8

A = ___ x ___ 4 = ___

Rectangles and Squares

Page 9: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

Rectangles and squares follow the basic rule about area.

AREA = WIDTH x HEIGHT 8

A = 4 x 8 4 = 32

Rectangles and Squares

Page 10: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

A = _________________

A = _________________

A = _________________

Page 11: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

A = 3 x 17 = 51m2

A = 10 x 52 = 520cm2

A = 50 x 70 = 3500km2

Page 12: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

Cut the shape into two rectangles with a line.

Now you have 2 rectangles. You can calculate the area of each rectangle.

Top rectangle18 x 10 = 180

Bottom rectangle9 x 12 = 108

Total Area180 + 108 = 288

Unit is cm2

A = 288cm2

Page 13: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

What is the perimeter and area of this shape?

Page 14: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

What is the perimeter and area of this shape?

Page 15: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

Parallelograms are just like rectanglesAREA = WIDTH x HEIGHT

You must be careful about the number you use for height.

The height of this parallelogram is not ___ it is ___. This is because the ___ is on a lean.

Parallelograms

Page 16: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

Parallelograms are just like rectanglesAREA = WIDTH x HEIGHT

You must be careful about the number you use for height.

The height of this parallelogram is not 8 it is 6 . This is because the 8 is on a lean.

Page 17: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

12m

7m

5m

4cm

8cm

6cm

Page 18: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

Triangles don't stay the same width the whole way across.

Two triangles can make a rectangle so each triangle is half as much area as the rectangle. AREA = ½ x WIDTH x HEIGHT

7

10 A =__ x __ x __ = __

Triangles

Page 19: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

Triangles don't stay the same width the whole way across.

Two triangles can make a rectangle so each triangle is half as much area as the rectangle. AREA = ½ x WIDTH x HEIGHT

7

10 A = ½ x 7 x 10 = 35

Page 20: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

Like a triangle the width of a trapezium changes.

We have to work out the average width. 8

14

A = (a + b) x h A = ( __ + __ ) x __ 2 2

Trapeziums

Average Width = (top side + bottom side) ÷ 2

Page 21: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

Like a triangle the width of a trapezium changes.

We have to work out the average width. 8

14

A = (a + b) x h A = ( 8 + 14 ) x 6 = 66

2 2

Average Width = (top side + bottom side) ÷ 2

Page 22: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

To find the area of a circle you need the radius.

The radius is the distance from the ________ of the circle to the _________.

Circles

middleoutside

radius

Page 23: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

To calculate the area use the formula

A = π r2

π is just a number (3.1415926535897932384626433832795)You have a calculator button for it.

Multiply it by the radius then multiply it by the radius again. You will need to round your answer.

Page 24: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

A = π r2

= 3.14159 x 3 x 3 = 28.27m2

e.g.

3m

Page 25: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

To find the perimeter of a circle (also called circumference) you need to use the formula

P = 2 π r

Page 26: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

P = 2 π r = 2 x 3.14159 x 3 = 18.85m

e.g.

3m

Page 27: Perimeter is the distance around the outside of the object To find a perimeter we _____ up the ________ e.g. Perimeter = ___ + ___ + ___ + ___ + ___

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