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Course: 3rd grade>Unit 10

Lesson 2: Count unit squares to find area

Creating rectangles with a given area 2

Lindsay creates a rectangle that has the same area (but different side lengths) than a given rectangle.  Created by Lindsay Spears.

Want to join the conversation?

• identify the area
- Figure
- shape
- rectangle
• i agree with rrambikarson's answer
• do you know what it is
• can area be negative numbers like -9?
• i dont think so
(1 vote)
• how do i know the difference
• The difference between what?🤨
• what is a Column and what do you use it for?
(1 vote)
• A column is a row except it goes up and down instead of left to right.
• Technically, isn't a square a rectangle, therefore if you had the right numbers you could make a square?
(1 vote)
• A square is a rectangle, because a rectangle is defined as a quadrilateral that has 2 pairs or opposite sides equal, and all angles equal to 90 degrees. A square is a special case of a rectangle (and it is also a special case of a rhombus, because rhombuses are defined as quadrilaterals with all sides equal, and 2 pairs of opposite angles equal [by the way, both rhombuses and rectangles are parallelograms, a type of quadrilateral defined as having 2 pairs of opposite sides equal, and 2 pairs of opposite angles equal]). And to answer your question, yes, you can make a square with the same area of 8 square units, by making a square with side lengths of 2.82842712475 units. Hope this helps, Klee.
• so basically count the squares?
(1 vote)
• @ , , and , is it true that Lindsay is correct or is it just like multiplication?
(1 vote)
• If you are talking about the narrator doing the math, yes, their multiplication is correct as shown below!:

``  8x 1———  8``

``  4x 2———  8``

When looking at both answers, we see that they both equal 8, and because `8 = 8` she is correct in her answer and her multiplication!

Hope this helps!
(1 vote)
• It's also multiplication, too. Is it?
(1 vote)
• im not a 3rd grader
(1 vote)

Video transcript

- So, here is our given rectangle, and we want to draw a rectangle with the same area, the same area, so what is the area of this rectangle? Area is the amount of space a shape covers, so how much space, or how many square units does this shape cover, does our rectangle cover? Each of these is one square unit, so our rectangle covers one, two, three, four, five, six, seven, eight square units. It has an area of eight square units. So, we want to draw another rectangle that also covers eight square units. If it covers eight square units, than it has an area of eight square units, but we can't just draw the identical rectangle, because we're also told that it should have, our rectangle should have no side lengths the same, so what are the side lengths of our rectangle? Over here on the left, it's one unit long, and going across the top is eight units long. This rectangle had eight square units, and they were broken up into one row of eight, so we need to think of another way that we can break up eight square units. One idea would be two rows of four, 'cause two rows of four would also cover eight, so let's try that. Let's create a rectangle here, two rows of four, and we can just spread this out a little bit so it covers the whole square units, and so this rectangle also covers one, two, three, four, five, six, seven, eight square units, so the given rectangle, and our rectangle have the same area because they cover the same amount of space, but they have different side lengths, because our new rectangle is, has a side length of two over here on the side, it's two units long, and going across the top is four units long, so it has new side lengths, so here's one way that we could draw a rectangle with the same area, but different side lengths.