Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides...
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![Page 1: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/1.jpg)
Area & PerimeterArea & Perimeter
![Page 2: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/2.jpg)
Perimeter
• The distance around a shape– The sum of the lengths of all the sides in a shape– Measured in units of length • i.e. Feet, miles, meters, etc
![Page 3: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/3.jpg)
Area
• The space within a shape– Measured in units of length squared • i.e. ft2, mi2, m2, etc
![Page 4: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/4.jpg)
Why feet squared?• Units for area are always squared because
they are describing how many little squares it would take to fill in the shape.– For example: 75 ft2 means that there are 75
squares that are 1 foot on each side needed to cover the space.
1 foot
1 fo
ot
![Page 5: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/5.jpg)
Area of a square, rectangle & parallelogram
A = bh– Base and Height ALWAYS must form a 90 degree
angle!
6 meters
15 m
eter
s12 meters
Area = bh = 6 x 12 = 72 m2
![Page 6: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/6.jpg)
AREA OF A PARALLELOGRAM
Welcome. Today you’re going to discover the formula for area of a parallelogram.
h
b
Click to Continue
![Page 7: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/7.jpg)
AREA OF A PARALLELOGRAM
To do this let’s cut the left triangle and…
h
b
Click to Continue
![Page 8: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/8.jpg)
slide it…
AREA OF A PARALLELOGRAM
h
h b
Click to Continue
![Page 9: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/9.jpg)
slide it…
AREA OF A PARALLELOGRAM
h
h
b
![Page 10: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/10.jpg)
slide it…
AREA OF A PARALLELOGRAM
h
h
b
![Page 11: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/11.jpg)
slide it…
AREA OF A PARALLELOGRAM
h
hb
![Page 12: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/12.jpg)
…thus, changing it to a rectangle.
What is the area of the rectangle?
AREA OF PARALLELOGRAM
h
b
bhA hbA bhA 2
![Page 13: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/13.jpg)
Area of a triangle
– Base and Height ALWAYS must form a 90 degree angle! (be perpendicular)
8 feet
Area = bh ÷ 2 = 8 x 9 ÷2 = 36 ft2
Abh
2
9 fe
et
12 fe
et
![Page 14: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/14.jpg)
What is the area of the square?
A = bh = 2 x 2 = 4 in2
![Page 15: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/15.jpg)
What is the perimeter of the square?
P = s + s + s + s = 2 + 2 + 2 + 2 = 8 inches
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What is the area of the rectangle?
A = bh = 8 x 3 = 24 cm2
![Page 17: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/17.jpg)
What is the perimeter of the rectangle?
P = b + b + h + h = 8 + 8 + 3 + 3 = 22 centimeters
![Page 18: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/18.jpg)
What is the area of the shape?
A = bh = 12 x 5 = 60 cm2
![Page 19: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/19.jpg)
What is the area of the shape?
A = bh = 7 x 10 = 70 in2
![Page 20: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/20.jpg)
What is the area of the shape?
Area = bh ÷ 2 = 4 x 15 ÷ 2 = 30 in2
![Page 21: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/21.jpg)
What is the area of the shape?
Area = bh ÷ 2 = 6 x 9 ÷2 = 27 cm2
![Page 22: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/22.jpg)
What is the area of the shape?
Area = bh ÷ 2 = 8 x 5 ÷2 = 20 in2
![Page 23: Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,](https://reader034.fdocuments.in/reader034/viewer/2022042522/56649e315503460f94b22407/html5/thumbnails/23.jpg)
http://www.mathgoodies.com/worksheets/perimeter-area-wks.html