How many different rectangles can you draw with an area (number of "tiles") of 28?
1x28
2x14
4x7
factor pairs of 28 ... 1, 28 ... 2, 14 ... 4, 7
looks like three
To find out the number of different rectangles with an area of 28, we can factorize 28. The factors of 28 are:
1, 2, 4, 7, 14, 28
Using these factors, we can create different rectangles. We have:
1 x 28
2 x 14
4 x 7
7 x 4
14 x 2
28 x 1
Therefore, there are 6 different rectangles that can be drawn with an area of 28.
To determine the number of different rectangles with an area of 28 tiles, we can break down the process into steps:
Step 1: List Factors of 28
Find all the factors of 28. Factors are the numbers that can be multiplied together to get the given number.
The factors of 28 are: 1, 2, 4, 7, 14, and 28.
Step 2: Pair Factors
Pair up the factors of 28. Each pair will represent the length and width of a rectangle.
The paired factors of 28 are: (1, 28), (2, 14), and (4, 7).
Step 3: Count Rectangles
Count the number of possible rectangles you can create using the paired factors.
For the pair (1, 28), you get a rectangle of size 1x28 or 28x1, which is the same rectangle.
For the pair (2, 14), you get a rectangle of size 2x14 or 14x2, which is the same rectangle.
For the pair (4, 7), you get a rectangle of size 4x7 or 7x4, which is the same rectangle.
So, the number of different rectangles with an area of 28 tiles is 3.
Therefore, you can draw three different rectangles with an area of 28 tiles.