area and perimeter of composite figures
DESCRIPTION
Area and Perimeter of Composite figures. After completing activities. Review the formulas for Perimeter and Area of basic shapes on the next slides View the animated worked example on the following slides. Formulas for basic Quadrilaterals. Formulas for basic Quadrilaterals. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Area and Perimeter of Composite figures](https://reader035.vdocuments.net/reader035/viewer/2022062800/568140f4550346895dacc07f/html5/thumbnails/1.jpg)
Area and Perimeter of Composite
figures
![Page 2: Area and Perimeter of Composite figures](https://reader035.vdocuments.net/reader035/viewer/2022062800/568140f4550346895dacc07f/html5/thumbnails/2.jpg)
After completing activities
• Review the formulas for Perimeter and Area of basic shapes on the next slides
• View the animated worked example on the following slides
![Page 3: Area and Perimeter of Composite figures](https://reader035.vdocuments.net/reader035/viewer/2022062800/568140f4550346895dacc07f/html5/thumbnails/3.jpg)
Formulas for basic Quadrilaterals
![Page 4: Area and Perimeter of Composite figures](https://reader035.vdocuments.net/reader035/viewer/2022062800/568140f4550346895dacc07f/html5/thumbnails/4.jpg)
Formulas for basic Quadrilaterals
![Page 5: Area and Perimeter of Composite figures](https://reader035.vdocuments.net/reader035/viewer/2022062800/568140f4550346895dacc07f/html5/thumbnails/5.jpg)
Formulas for basic Quadrilaterals
![Page 6: Area and Perimeter of Composite figures](https://reader035.vdocuments.net/reader035/viewer/2022062800/568140f4550346895dacc07f/html5/thumbnails/6.jpg)
Example 1Find the area of the figure below
15 cm
50 cm
![Page 7: Area and Perimeter of Composite figures](https://reader035.vdocuments.net/reader035/viewer/2022062800/568140f4550346895dacc07f/html5/thumbnails/7.jpg)
15 cm
= + +
50 cm
Triangle Rectangle
Square 20cm 15 cm15 cm 3
0 c
m
30 c
m
Area = Height × base 2
Area = 30 × 20
Area =
Rectangle:
Area = Length × width
Area = 30 × 15
Area =
Square :
Area = (side)2
Area = (15)2
Area = 300 cm2 450 cm2 225 cm2
2
Triangle :
Total area = 300 + 450 + 225
= 975 cm2
![Page 8: Area and Perimeter of Composite figures](https://reader035.vdocuments.net/reader035/viewer/2022062800/568140f4550346895dacc07f/html5/thumbnails/8.jpg)
What is the area of the window shown? Use ( π =3.14 )
Example 2
48 in
36 in
![Page 9: Area and Perimeter of Composite figures](https://reader035.vdocuments.net/reader035/viewer/2022062800/568140f4550346895dacc07f/html5/thumbnails/9.jpg)
48 in
36 in
+36 in
36 in4
8 in
=
![Page 10: Area and Perimeter of Composite figures](https://reader035.vdocuments.net/reader035/viewer/2022062800/568140f4550346895dacc07f/html5/thumbnails/10.jpg)
48 in
36 in
=+
36 in
36 in
48
in
Rectangle :Area = 36 × 48 Area = 1728 in2
Half of circle :Area =
Area = 508.68 in2
𝜋𝑟2 23.14 × (18)2 2Area =
508.68 in21728 in2
Total area = 1728 + 508.68
= 2236.68 in2
![Page 11: Area and Perimeter of Composite figures](https://reader035.vdocuments.net/reader035/viewer/2022062800/568140f4550346895dacc07f/html5/thumbnails/11.jpg)
8cm
6cm
8cm
12cm
Example 3
![Page 12: Area and Perimeter of Composite figures](https://reader035.vdocuments.net/reader035/viewer/2022062800/568140f4550346895dacc07f/html5/thumbnails/12.jpg)
8cm
6cm
8cm
12cm
+
4cm
4cm
-
![Page 13: Area and Perimeter of Composite figures](https://reader035.vdocuments.net/reader035/viewer/2022062800/568140f4550346895dacc07f/html5/thumbnails/13.jpg)
8cm
6cm
8cm
12cm
+4cm
4cm-
bhA
2
442
bh
A
Total Area = 96 + 40 – 8 = 128 cm2
2
21
40
)46(82
1
)(2
1
cm
bbhA
4cm
128A
A = 8 cm2A = 96 cm2
![Page 14: Area and Perimeter of Composite figures](https://reader035.vdocuments.net/reader035/viewer/2022062800/568140f4550346895dacc07f/html5/thumbnails/14.jpg)
Thank you• Mr. Ali Abdalla Abdelmohsen Mahmoud• [email protected]• EGYPT – Asyut• UAE – Abu Dhabi
• 2010-2011