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45 votes
How many SQUARES can you find? How many RECTANGLES can you find? How many TRIANGLES can you find?

How many SQUARES can you find? How many RECTANGLES can you find? How many TRIANGLES-example-1
User Klick
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1 Answer

12 votes
12 votes
First assumption: you want to use all 12 squares in each rectangle.

Let’s assume the squares are 1 inch on a side (could be foot, or yard, or whatever, but 1 UNIT).

Now, a rectangle has a length and a width. 12 squares an inch on a side have a total area of 12 square inches. So, your rectangle will also be 12 square inches.

To get that, you could have a rectangle of the following dimensions:

1 X 12

2 X 6

3 X 4

That’s it. Three possible rectangles, using all 12 squares per rectangle.

Now, if you DON’T have to use all 12 squares in the rectangle, then you could make 6 rectangles, using 2 squares each, so each rectangle would be 1 X 2.
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