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Current time:0:00Total duration:3:16

Video transcript

each square in the grid is a unit square with an area of one square centimeter so each of these squares is one square centimeter this is one square centimeter and this is one square centimeter and so on and now we're asked what is the area of the figure by figure I'm sure they mean this bluish purplish quadrilateral and we want to know its area an area is talking about how much space the shape covers how much space does this quadrilateral cover how many square centimeters does the quadrilateral cover to figure it out we could start by counting here's one here's one square centimeter the quadrilateral covers and I can keep counting like that all of the square centimeters that I can see here's two three another rows got some here four five six down here here seven eight nine so there's nine full square centimeters nine square centimeters but that's not the entire area that's not everything it covers it also covers these small parts these triangle-shaped little spaces of area and so we need to count those two let's look over here let's look if we drew one of these triangles into a unit square and then we drew another one on the other part half of this unit square we would see that combined they make one full unit square so we can do that we can take this triangle up here which is half of a unit square and combine it with this half of a unit square so if we combine these two together that's one more unit square so now we have nine full unit squares plus one more but there's still more of them so we can keep combining this half unit square combined with the other one on the bottom makes a second unit square and finally there's two more halves here one two which combine to make another hole so we have nine full unit squares plus plus three more unit squares that we made by combining we made one by combining these two a second unit square with these two and a third unit square here so we have nine full unit squares and then three more unit squares we put together which is a total of twelve square units or twelve square in this case our unit is centimeters 12 square centimeters our figure our quadrilateral covers twelve square centimeters so it has an area of 12 square centimeters