To determine the number of rectangles that can be made using 24 tiles, we need to consider the different possible dimensions of rectangles. A rectangle can have a length and width ranging from 1 to 24, inclusive. Each unique combination of length and width will form a distinct rectangle, so the total number of rectangles can be calculated by summing the total number of combinations for each possible length and width. This can be done using the formula n(n+1)/2 for the sum of the first n natural numbers, where n is the total number of tiles (24 in this case).
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Im not math guru, but i believe the correct answer is 4. i.e) 1x36 2x18 3x12 4x9 6x6 <-- this would be a square of cource ** Depending on if you are counting a 1x36 triangle laying horizontal the same as vertical ...IF you are counting them as different than your answer is 8.
There would be an infinite number of rectangles possible
8
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. So, there are 5 rectangles with an area of 36 cm^2 is 5.
the answer is 12