How To Find The Area Of An Unusual Shape
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Transcript of How To Find The Area Of An Unusual Shape
![Page 1: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/1.jpg)
How to find the Area of this unusual shape
45
55
22
20
![Page 2: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/2.jpg)
This shape is actually 2 rectangles
45
55
22
20
![Page 3: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/3.jpg)
So we need to find the area of each rectangle
45
55
22
20
![Page 4: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/4.jpg)
The blue rectangle is 45 wide by ? long
45
55
22
20
?Remember that rectangles have the two opposites sides equal.
![Page 5: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/5.jpg)
We to have find out ?
45
55
22
20
?So that is 55 - 20
35
- the width of the blue rectangle.
![Page 6: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/6.jpg)
So the Area of the blue rectangle is 45 X 35 which is:
45
55
22
20
1575
![Page 7: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/7.jpg)
So now we only have to find out the Area of the pink rectangle and add it to the blue rectangle
45
55
22
20
1575
![Page 8: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/8.jpg)
We know the pink rectangle is 22 long by 20 wide so all we have to do is multiply the two numbers.
45
55
22
20
X = 4401575
![Page 9: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/9.jpg)
So now we have the Area of both rectangles and we need to add them together
1575
440
![Page 10: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/10.jpg)
So the Area of our unusual shape is
45
55
22
20
1575
440
+ = 2015
![Page 11: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/11.jpg)
Now try these other shapes by clicking on them
15
20
36
8 10
24
10
8
22
13
Practical Application 1
Practical Application 2
Practical Application 3
![Page 12: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/12.jpg)
A rectangle and a triangle20
15
36
Remember the area of a triangle is length X breadth
divided by 2.
A = l X b2
Click here to return to
try the other
shapesClick
here to check
answer
![Page 13: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/13.jpg)
The formula for the Area of a circle is:A = πr2
8 10
What is the area of the blue part of the donut
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shapes
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answer
![Page 14: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/14.jpg)
108
So that is 2 circles
Confused click on this picture if you need
helpClick here to return to
try the other
shapes
Click here to check
answer
![Page 15: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/15.jpg)
The formula for the Area of a circle is: A = πr2
108
So you have to take away the area of the small circle from the area of the big one.
But first find out the radius of the larger circle which is 10 + the radius of the smaller circle (8)
Click here to return to
try the other
shapesClick here to check
answer
![Page 16: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/16.jpg)
So add the area of the three rectangles
24
10
8
22
13
orFind the Area of the large
rectangle and take away the Area of the smaller inside one.
24
2210
13
Click here to return to
try the other
shapes
Click here to check
answer
![Page 17: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/17.jpg)
How much will it cost to carpet the lounge room and hallway of this house at $55 per sq.m.
5m2m
1m
3.5m
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try the other
shapes
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answer
![Page 18: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/18.jpg)
How much will it cost to tile the kitchen and dining room of this house at $68 per sq.m.
5m2m
1m
Kitchen Dining Room
The kitchen is 4m by 2.4m
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try the other
shapes
Click here to check
answer
![Page 19: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/19.jpg)
Here are the four walls of a bedroom – How much would it cost to paint them at $3.50 per Sq. M.
4.5m 4.5m
3.2m 3.2m
Door
Window
Window2.5m
2.5m 2.5m
2.5m
1m
1.8m
1.5m
1.5m
1.3m
1.7m
Remember we don’t want to paint the door or windows, so think about how you will do it
Help
Click here to check
answer
![Page 20: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/20.jpg)
How to do it!• Find out the area of the four walls and take
away the area of the door and windows• Then multiply the answer by the amount it
costs to paint 1 sq. m.
• E.g. for wall with door
Area of yellow rectangle = 4.5 X 2.5 -
Area of blue
rectangle = 1 X 1.8
Return to problem
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Answers
24
10
8
22
13408 398
8 10
817.14
Click on the answer you have
15
20
36
540420
Practical Application 1
Practical Application 2
$14.85
$1365.20
$4325.00
$1078.00
$1960.00
$2378.75
$1485.80
$43.25
480 528
871.41
300 480
1018.29 201.14
$171.85$33.70 $350.00$117.95Practical
Application 3
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Yes that’s right
![Page 23: How To Find The Area Of An Unusual Shape](https://reader036.fdocuments.us/reader036/viewer/2022081413/54936eebac7959412e8b4853/html5/thumbnails/23.jpg)
Sorry that is wrong – check your workings – try again!
15
20
36
8 10
24
10
8
22
13
Practical Application 1
Practical Application 2
Practical Application 3