[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:02.00,0:00:04.87,Default,,0000,0000,0000,,Find the area and the perimeter of the polygon
Dialogue: 0,0:00:04.87,0:00:06.93,Default,,0000,0000,0000,,so lets start with the area first
Dialogue: 0,0:00:06.93,0:00:08.73,Default,,0000,0000,0000,,so the area of this polygon
Dialogue: 0,0:00:08.73,0:00:10.47,Default,,0000,0000,0000,,and there's kind of two parts to this
Dialogue: 0,0:00:10.47,0:00:13.27,Default,,0000,0000,0000,,first you have this part that's kind of rectangular
Dialogue: 0,0:00:13.27,0:00:15.00,Default,,0000,0000,0000,,or it is rectangular
Dialogue: 0,0:00:15.00,0:00:16.67,Default,,0000,0000,0000,,this part right over here
Dialogue: 0,0:00:16.67,0:00:18.33,Default,,0000,0000,0000,,and that area is pretty straightforward
Dialogue: 0,0:00:18.33,0:00:20.33,Default,,0000,0000,0000,,it's just going to be base times height
Dialogue: 0,0:00:20.33,0:00:22.60,Default,,0000,0000,0000,,so the area's going to be 8 times 4
Dialogue: 0,0:00:22.60,0:00:25.73,Default,,0000,0000,0000,,8 times 4 for the rectangular part
Dialogue: 0,0:00:25.73,0:00:28.60,Default,,0000,0000,0000,,and then we have this triangular part up here
Dialogue: 0,0:00:28.60,0:00:30.53,Default,,0000,0000,0000,,so we have this area up here
Dialogue: 0,0:00:30.53,0:00:36.00,Default,,0000,0000,0000,,and for a triangle this area is base times height times 1/2
Dialogue: 0,0:00:36.00,0:00:37.27,Default,,0000,0000,0000,,that actually makes a lot of sense
Dialogue: 0,0:00:37.27,0:00:39.13,Default,,0000,0000,0000,,because you just multiply base times height
Dialogue: 0,0:00:39.13,0:00:39.63,Default,,0000,0000,0000,,you would get this entire area
Dialogue: 0,0:00:39.63,0:00:43.67,Default,,0000,0000,0000,,you get the area of the entire rectangle
Dialogue: 0,0:00:43.67,0:00:46.27,Default,,0000,0000,0000,,and you see that the triangle is exactly half of it
Dialogue: 0,0:00:46.27,0:00:47.67,Default,,0000,0000,0000,,if you took this part of the triangle
Dialogue: 0,0:00:47.67,0:00:49.60,Default,,0000,0000,0000,,and you flip it over, you'd fill up that space
Dialogue: 0,0:00:49.60,0:00:51.00,Default,,0000,0000,0000,,and you took this part of the triangle
Dialogue: 0,0:00:51.00,0:00:52.93,Default,,0000,0000,0000,,and you flip it over, you'd fill up that space
Dialogue: 0,0:00:52.93,0:00:54.87,Default,,0000,0000,0000,,so the triangle's area is half of
Dialogue: 0,0:00:54.87,0:00:57.60,Default,,0000,0000,0000,,the triangle's base times the triangle's height
Dialogue: 0,0:00:57.60,0:01:03.07,Default,,0000,0000,0000,,so plus 1/2 times the triangles base which is 8 inches
Dialogue: 0,0:01:03.07,0:01:06.27,Default,,0000,0000,0000,,and the triangles height which is 4 inches.
Dialogue: 0,0:01:06.27,0:01:09.60,Default,,0000,0000,0000,,so let us calculate it this gives us
Dialogue: 0,0:01:09.60,0:01:24.40,Default,,0000,0000,0000,,it is not 4, triangles height is 3, so let us go back
Dialogue: 0,0:01:24.40,0:01:37.33,Default,,0000,0000,0000,,and calculate it area = 32 + 1/2 * 8*3 = 32 + 12 = 44
Dialogue: 0,0:01:37.33,0:01:40.00,Default,,0000,0000,0000,,area of the figure is 44
Dialogue: 0,0:01:40.00,0:01:42.27,Default,,0000,0000,0000,,now let us do the perimeter.We need to figure out the
Dialogue: 0,0:01:42.27,0:01:45.47,Default,,0000,0000,0000,,sum of the sides. If we need to put a fence
Dialogue: 0,0:01:45.47,0:01:51.20,Default,,0000,0000,0000,,what is the length that we need to cover
Dialogue: 0,0:01:51.20,0:02:13.00,Default,,0000,0000,0000,,so the perimeter = 8+4+5+5+4 =26 inches
Dialogue: 0,0:02:13.00,0:02:32.53,Default,,0000,0000,0000,,Let me get the unit right, here we are multiplying
Dialogue: 0,0:02:32.53,0:02:38.20,Default,,0000,0000,0000,,8 inches by 4 inches we get 32 square inches and
Dialogue: 0,0:02:38.20,0:02:40.00,Default,,0000,0000,0000,,here we multiply 8 inches by 3 inches we get 24 square inches
Dialogue: 0,0:02:40.00,0:02:43.07,Default,,0000,0000,0000,,divide by 2 we get 12 square inches.
Dialogue: 0,0:02:43.07,0:02:46.60,Default,,0000,0000,0000,,area = 44 square inches, perimeter is 26 inches
Dialogue: 0,0:02:46.60,9:59:59.99,Default,,0000,0000,0000,,area is two dimensional and perimeter is one dimensional