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In a 5×5 grid, how many rectangles of area 4 are there?

 

 Jun 19, 2020
 #1
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there are 3 rectangles in the entire grid if thats what your asking?

 Jun 19, 2020
 #2
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For 1x4 rectangles, the yellow ones, there are 10 of them (going horizontally)

For 4x1 rectangles, the blue ones, there are also 10 (going vertically).

For the 2x2 squares, the green ones, there are 16. 

Add the cases up to get your answer. 

I found these cases by handcounting every rectangle, but if you would like an algebra solution for problems like this with bigger numbers, I could explain that as well.

 Jun 19, 2020
edited by thelizzybeth  Jun 19, 2020

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