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Transcript of Area
![Page 1: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/1.jpg)
![Page 2: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/2.jpg)
What is area???
![Page 3: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/3.jpg)
The area of a figure measures the size of the region enclosed by the figure.
![Page 4: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/4.jpg)
The area of a figure measures the size of the region enclosed by the figure.
This is usually expressed in terms of some square unit.
![Page 5: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/5.jpg)
Why we need to know the area???
![Page 6: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/6.jpg)
In order to get the area, we need to now the:
![Page 7: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/7.jpg)
In order to get the area, we need to now the: length (l)Width (d)
![Page 8: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/8.jpg)
In order to get the area, we need to now the:
length (l)Width (d)
Then, we multiply length with width (l x d)
![Page 9: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/9.jpg)
What size picture to fit the frame?
![Page 10: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/10.jpg)
In order to know this, we must know the area of the frame and also the
picture…
![Page 11: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/11.jpg)
If the frame above has a length of 25cm and width 20 cm. then what is the area?
![Page 12: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/12.jpg)
2cm
If the frame above has a length of 25cm and width 20 cm. then what is the area?
A = 25cm x 20cm = 500
![Page 13: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/13.jpg)
How about the area of Parallelogram???
![Page 14: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/14.jpg)
The area of a parallelogram is b × h, where b is the length of the base of the parallelogram, and h is the corresponding height. To picture this, consider the parallelogram below:
b = baseh= height
![Page 15: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/15.jpg)
We can picture it by "cutting off" a triangle from one side and "pasting" it onto the other side to form a rectangle with side-lengths b and h. This rectangle has area b × h.
![Page 16: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/16.jpg)
Trapezoid
![Page 17: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/17.jpg)
a and b = length of trapezoidh = height
![Page 18: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/18.jpg)
a and b = length of trapezoidh = height
Area = 1/2 × h × (a + b) .
![Page 19: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/19.jpg)
In this, we consider two identical trapezoids, and "turn" one around and "paste" it to the other along one side as pictured below:
![Page 20: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/20.jpg)
In this, we consider two identical trapezoids, and "turn" one around and "paste" it to the other along one side as pictured below:
The figure formed is a parallelogram having an area of h × (a + b), which is twice the area of one of the trapezoids.
The figure formed is a parallelogram having an area of h × (a + b), which is twice the area of one of the trapezoids.
![Page 21: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/21.jpg)
Triangle
![Page 22: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/22.jpg)
![Page 23: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/23.jpg)
Area of the triangle is 1/2 × b × h.
![Page 24: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/24.jpg)
We could take a second triangle identical to the first, then rotate it and "paste" it to the first triangle as pictured below:
![Page 25: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/25.jpg)
We could take a second triangle identical to the first, then rotate it and "paste" it to the first triangle as pictured below:
The figure formed is a parallelogram with base length b and height h, and has area b × ×h.
![Page 26: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/26.jpg)
We could take a second triangle identical to the first, then rotate it and "paste" it to the first triangle as pictured below:
The figure formed is a parallelogram with base length b and height h, and has area b × ×h.
This area is twice that of the triangle, so the triangle has area 1/2 × b × h.
![Page 27: Area](https://reader035.fdocuments.in/reader035/viewer/2022062709/558e85751a28ab036e8b46dc/html5/thumbnails/27.jpg)
So… clear with it???