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### Course: 3rd grade (Eureka Math/EngageNY) > Unit 4

Lesson 4: Topic D: Applications of area using side lengths of figures- Decomposing shapes to find area: grids
- Understand decomposing figures to find area
- Decomposing shapes to find area: subtract
- Decomposing shapes to find area: add
- Decompose figures to find area
- Area word problem: house size
- Comparing areas of plots of land
- Compare areas by multiplying

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# Decomposing shapes to find area: subtract

Lindsay finds the area of an irregular shape by decomposing it into 2 rectangles and subtracting the area of the rectangles. Created by Lindsay Spears.

## Want to join the conversation?

- why didn't you just subtract 16 from 72.(21 votes)
- At2:17, she could do 72-16=56 because 72 and 16 are the results of the expressions just above. After that, she could prove, subtracting step by step. The way she followed made the calc 4x4=16 unnecessary.(21 votes)

- 16-72 not that hard(6 votes)
- It should not be hard for 3rd graders(3 votes)

- why does she say the area looks like a rectangle when it looks like a square?(4 votes)
- All squares are rectangles, but not all rectangles are squares. You can say that a square is a rectangle and be correct, but the inverse is not true, only some rectangles are squares.(4 votes)

- Unfortunately this is hard for some people and easy for others. Personally, it's easy for me but I completely understand why it can be hard. If you don't get it it most certainly doesn't mean you are stupid. Everyone has their tough spots. Place value is the easiest thing on earth and it took me years to understand it.(5 votes)
- This explains well honestly whoever made the video I say to you well done girl well done.(6 votes)
- her name is page(0 votes)

- Whenever i do a video it sometimes it doesn’t Check it off(2 votes)
- they want you to learn more(2 votes)
- Hi my name the jordyn washington(2 votes)
- finally i found a video that will help me w\ this(1 vote)

## Video transcript

- [Voiceover] What is the
area of the shaded figure? So down here we have
this green shaded figure, and it looks like a rectangle
except it has a square cut out in the middle. So when we find its
area, we can think of it exactly like that. We want to know how much space it covers. It covers this rectangle's amount of area with this square cut out. So what we can do is find the
area of the larger rectangle and then cut out or subtract
the area of the square to see what's left in this shaded area. So let's start by finding the area of this larger rectangle. And to do that, we can
look at the side lengths. It has side lengths of nine and eight. To find the area of a
rectangle, we can multiple the side lengths. So nine times eight is 72. So that means that this rectangle covers 72 square centimeters. This entire rectangular area
covers 72 square centimeters. But now we need to cut out or subtract the area of this square
'cause that's not part of our shaded figure. We need to cut that part out. So to do that, we know
the side lengths are four on the square so we can think of this as this is four centimeters
across so we can divide it into four equal sections, and same going this way, and then if we connect these lines, what it will show us is that we have, it's not drawn perfect,
but we have four rows of four square centimeters. Four times we see four square centimeters. This top row, one, two,
three, four, and so on. Four rows, so there's
16 square centimeters we need to cut out of the 72 of this entire rectangular area, we need to cut out or subtract 16 of these square centimeters. So let's do that. We have 72 as the entire area, and then let's start subtracting out. We subtract out 10 of them, just for me like subtracting
10s 'cause they're simpler. So four, eight, 10 of
the square centimeters. Now we're down an area of 62 left. And then let's subtract those two more. We'll get us to subtract
two more, will get us to 60. And then there's four
left to subtract in order to subtract all 16, so 60 minus four gets us to 56. So the entire area of 72, we subtracted out these
16 square centimeters, leaves us with a final area of 56 square centimeters.