how many rectangles can you make with 72
72 what?
Is 72 an area, a perimeter or ???
72 as the perimeter
To determine how many rectangles you can make with 72, you need to know the dimensions of the rectangles. Rectangles have two sides: length and width. Assuming the rectangles are made from square blocks, you would need to find pairs of numbers whose product equals 72.
Let's calculate the number of rectangles together:
Start by finding all the factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
Now, consider one pair of factors at a time, such as 1 and 72 or 2 and 36, and multiply them to find the area of a rectangle. For example:
- Length = 1, Width = 72 → Area = 1 * 72 = 72.
- Length = 2, Width = 36 → Area = 2 * 36 = 72.
Repeat this process for all pairs of factors, noting down the rectangles with an area of 72. Keep in mind that rectangles with the same dimensions but flipped length and width are considered the same.
Once you have gone through all the pairs, count the total number of rectangles you found. Remember to include squares (rectangles with equal length and width) in your count as well.
Note: If the rectangles can have non-integer dimensions, such as with fractional lengths or widths, there can be infinitely many possible rectangles. However, assuming you are referring to whole numbers for the dimensions, the process outlined above will give you the number of rectangles.