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Current time:0:00Total duration:2:51

Decomposing shapes to find area: grids

CCSS.Math: ,

Video transcript

each small square in the diagram has a side length of one centimeter so what is the area of the figure so we have this figure down here in blue and we want to know its area area is the total space it covers and we're also told that each of these little squares has a side length of one centimeter so that means each of these squares is one square centimeter so we can find the area by seeing how many square centimeters does this figure cover one way would be just to try to draw the little square centimeters and count them there's one square centimeter there's two and so on and keep counting them all the way through or what we could do is we could look at this and try to break it into two shapes so we can say down here into two rectangles down here we have one rectangle and up here we have a second rectangle and then we can find the area of each rectangle and add it together to find the total area that the figure covers down here on the bottom we have two rows of unit squares and each of those has one two three four five six seven so one two three four five six seven so there's two rows of seven unit squares or seven square centimeters so the bottom rectangle is made up of 14 square centimeters it covers 14 square centimeters and the top rectangle let's see we have one row two three four five rows and each of those rows has one two square centimeters so we have five rows of two square centimeters or ten so this top rectangle here that we have in blue covers ten square centimeters plus the bottom rectangle that we outlined in green covers 14 square centimeters so in total the entire figure covers 24 square centimeters so 24 square centimeters is our area because area is how much space does it cover and we figured out that it covered 24 square centimeters