Area and Perimeter.

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Presentation transcript:

Area and Perimeter

First we need to find he length of each side by counting the squares. 8 cm The distance around the outside of a shape is called the perimeter. 6 cm 6 cm 8 cm The perimeter of the shape is 8 + 6 + 8 + 6 = 28cm.

18cm 18cm What is the perimeter of each of these shapes? Your teacher will give you copy of the worksheet. 22cm 18cm 26cm

Now find the perimeter of these shapes. They are not drawn to scale. 4cm 3cm 3cm 5cm 7cm 3cm Perimeter = 18cm Perimeter = 22cm Perimeter = 28cm

To find out how much shape is inside we can count the squares. The area of a shape is the amount of space inside it. The area of the shape is 18cm2.

To work out the number of squares The rectangle is made of 6 rows of 8 squares. To work out the number of squares we times 6 by 8. Counting each square can take a long time. Does anyone know a quicker way? The area of the shape is 48cm2.

18cm2 20cm2 What is the area of each of these shapes? Your teacher will give you copy of the worksheet. 30cm2 14cm2 22cm2

We can work out the area of a rectangle without the grid. length Area = length x width width

Now work out the area of these rectangles. They are not drawn to scale. 7cm 5cm 35cm2 5cm 20cm2 4cm 9cm 36cm2 12.5cm 4cm 2cm 25cm2

A shape that is made from other shapes is known as a composite shape. 4cm Total area = 40 + 32 = 72 cm2 2cm To find the area of this shape we have to split it up into two rectangles. 4cm Area = 4 x 10 10cm Area = 4 x 8 8cm 40cm2 32cm2 8cm A shape that is made from other shapes is known as a composite shape.

Find the area and perimeter of each of these shapes Find the area and perimeter of each of these shapes? Your teacher will give you copy of the worksheet. 5cm 2cm 4cm 9cm 5cm 6cm 11cm 2cm 4cm 5cm 4cm 2cm 5cm 4cm 3cm 3cm 3cm 4cm 7cm 7cm 11cm

Total area = 45 + 20 = 65 cm2 Perimeter = 36 cm Area = Area = 4 x 5

Total area = 10 + 36 = 46 cm2 Perimeter = 34 cm Area = 2 x 5 10cm2

There is another way of doing this question. Total area = 28 + 16 + 21 = 65 cm2 Perimeter = 42 cm There is another way of doing this question. Area = 4 x 7 Area = 4 x 4 28cm2 16cm2 4cm 3cm 3cm 3cm Area = 3 x 7 4cm 7cm 7cm 21cm2 11cm

Total area = 77 – 12 = 65 cm2 Perimeter = 42 cm Area = 3 x 4 12cm2

When you measure the amount of carpet to cover the floor of a room, you measure it in square units. ? Would the area of your bedroom or the area of your house be greater? ? You’re right! The area of your house is greater than the area of your bedroom.

Area Area is the amount of surface space that a flat object has. Area is reported in the amount of square units.

When you measure the amount of wallpaper border to go around a room, you measure it in lengths. ? Would the perimeter of your bedroom or the perimeter of your house be greater? ? You’re right! The perimeter of your house is greater than the perimeter of your bedroom.

Perimeter Perimeter is the distance around the outside edge of a flat object. Perimeter is reported as a total number of linear units.

w o r k s h e t n

w o r k s h e t

w o r k s h e t f u 5cm 2cm 6cm 11cm 2cm 4cm 5cm 4cm 9cm 5cm 4cm 2cm

What is the area of the house? _____________________cm2 4cm What is the area of the compound shape? _____________________cm2 4cm 2cm 8cm What is the perimeter of the compound shape? _____________________cm 4cm 6cm