mg 1.4 lesson 12-6. the distance around the outside of a shape is called the perimeter. 8 cm 6 cm 8...

MG 1.4 Lesson 12-6

The distance around the

outside of a shape is called the perimeter.

8 cm

6 cm

8 cm

6 cm

The perimeter of the shape is 8 + 8 + 6 + 6 = 16 + 12 = 28cm.

First we need to find the length of each side.

The distance around the

outside of a shape is called the perimeter.

10 cm

8 cm

10 cm

8 cm

The perimeter of the shape is 10 + 10 + 8 + 8 = 36 cm.

First we need to find he length of each side.

YOU TRY

Mrs Williams’ has a cubical in the shape of a rectangle, the sides are 6 feet long and 8 feet wide. What is the perimeter of the rectangle?

6 + 6 + 8 + 8 = 12 + 16 = 28 feet

MG 1.1 &1.4 Lesson 12-7

The area of a shape is the

amount of space inside it.

The area of the shape is 18cm2.

To find out the area inside the shape we cancount the squares.

Counting each square can take a long time. Does anyone know a quicker way?

The area of the shape is 48cm2.

The rectangle is made of 6 rows of 8 squares.

To work out the number of squareswe multiply 6 by 8.

8cm

6cm

A = l x w

YOU TRY

length

wid

thArea = length x width 7cm

10cm

Remember Area = l x w10 X 7 = 70

Area = 70 cm2

What is the Area of the rectangle?

length

wid

thArea = length x width 3cm

11cm

What is the perimeter of the rectangle?

Area = 11 x 3A = 33

Perimeter = 11 +11 + 3 +3Perimeter = 22 +6 = 28

We can find the area without a picture.

l = 15 cm, w = 6 cm

What is the area?

l = Means length, w = means widthA = l x w

90 cm square

You try!Find the Area of the rectangle• l = 5 cm, w = 8 cm

• l = 9 cm, w = 3 cm

Find the Area of the square

• S = 15 cm

• S = 4 cm

MG 1.2 & 1.3 Lesson 12-9

What rectangles have the same

area but different perimeters?

20cm235cm2

25cm2

25cm22cm

10cm

7cm

5cm

5cm

5cm

2cm

12.5cm

A rectangle has the length of 10 feet and the width of 6 feet. Which of the following have the same perimeter but different Area?

a) 15ft long and 1 ft wideb) 6 ft long and 4 ft widec) 4ft long and 4ft wided) 2 ft long and 12ft wide

A rectangle has the length of ____ and an area of ____ what is the width?

MG 1.4 Lesson 12-8

9cm

6cm

6cm

2cm

5cm

5cm

5cm

2cm

Area =6 x 9

54cm2

Area =5 x 5

25cm2

Total area = 54 + 25 = 79 cm2

Perimeter = 6+2+5+5+5+2+6+9Perimeter = 40 cm

Review

5cm

6cm

12cm

2cm

3cm

6cmArea =2 x 6

12cm2 Area =5 x 6

30 cm2

Total area = 12 + 30 = 42 cm2

Perimeter = 34 cm

YOUR TRY

There are two parks in Katie’s neighborhood. She thinks that North Park has about the same area as Central Park because their perimeters are about the same. Is she correct?

North ParkCentral Park

90 yd

25 yd

42 yd

75yd

Find the perimeter of both park.

North Park: P = 90+90+25+25=230

Central Park: P = 42+42+75+75=234

A= l x wA= 90 x 25=1,500 yd 2

A=l x wA=42 x 75 A=3,150 yd2

Gary wants to fence in an area of 12 square feet for his rabbit . Draw some rectangular shapes with an area of 12 square feet that Gary can make. Then find the amount of fencing Gary would need for each rectangular region?

A=12

A=12 A=12

P=12+12+1+1=26

P=6+6+2+2=16P=3+3+4+4=14

Mark wants to tile his square kitchen floor which is 8 ft long by 8 ft wide. If each tilecovers1 ft , how many tiles does Mark need to cover his kitchen floor?

2

2

Steps to find correct answer:1. Underline what is being asked2. Circle the information you have3. Draw a picture4. Find your answer

____________________

8

8A= l x wA= 8 x 8A=64 ft

The Middle School auditorium has a rectangular stage that is 4 yds long. If the stage covers an area of 28 yds , how wide is the stage?


2

2

____________________

4

?

A=28

l=7yds

Maria wants to put a fence around her rectangular field. The field is 100 feet long and 55 feet wide. How many feet of fencing does he Need to completely enclose his field?


Jim wants to frame a square photograph of himself.If the photo has An area of 9 in , how many inches of framing does he need?

2


A square has a perimeter of 20 cm. What is the area?


A rectangle has the length of 5 and an area of 30 what is the width?


A square has the area of 4 what is the perimeter?


mg 1.4 lesson 12-6. the distance around the outside of a shape is called the perimeter. 8 cm 6 cm 8...

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x 525cm2total area

x w10 x

different area

x 954cm2area

length x width3cm11cmwhat

ft widea rectangle

ft wideb

ft widec