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Find the area and the perimeter of the polygon
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so lets start with the area first
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so the area of this polygon
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and there's kind of two parts to this
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first you have this part that's kind of rectangular
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or it is rectangular
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this part right over here
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and that area is pretty straightforward
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it's just going to be base times height
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so the area's going to be 8 times 4
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8 times 4 for the rectangular part
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and then we have this triangular part up here
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so we have this area up here
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and for a triangle this area is base times height times 1/2
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that actually makes a lot of sense
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because you just multiply base times height
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you would get this entire area
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you get the area of the entire rectangle
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and you see that the triangle is exactly half of it
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if you took this part of the triangle
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and you flip it over, you'd fill up that space
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and you took this part of the triangle
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and you flip it over, you'd fill up that space
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so the triangle's area is half of
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the triangle's base times the triangle's height
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so plus 1/2 times the triangles base which is 8 inches
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and the triangles height which is 4 inches.
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so let us calculate it this gives us
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it is not 4, triangles height is 3, so let us go back
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and calculate it area = 32 + 1/2 * 8*3 = 32 + 12 = 44
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area of the figure is 44
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now let us do the perimeter.We need to figure out the
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sum of the sides. If we need to put a fence
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what is the length that we need to cover
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so the perimeter = 8+4+5+5+4 =26 inches
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Let me get the unit right, here we are multiplying
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8 inches by 4 inches we get 32 square inches and
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here we multiply 8 inches by 3 inches we get 24 square inches
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divide by 2 we get 12 square inches.
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area = 44 square inches, perimeter is 26 inches
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area is two dimensional and perimeter is one dimensional