If there is a grid and you are going to draw three different rectangles so that each has an area of 12 square units and they all have different widths. What are the dimensions of the rectangle? Please help answer

1 by 12

2 by 6
3 by 4

To solve this problem, we will start by finding all possible pairs of factors for 12. The factor pairs of 12 are (1, 12), (2, 6), and (3, 4).

We know that the area of a rectangle is given by multiplying its length and width. Since each rectangle has an area of 12 square units, we can assign one factor as the width and the other factor as the length for each rectangle.

Let's list the dimensions for each rectangle using the factor pairs:

1. Rectangle 1: Width = 1, Length = 12
2. Rectangle 2: Width = 2, Length = 6
3. Rectangle 3: Width = 3, Length = 4

Thus, the dimensions of the three rectangles, all with an area of 12 square units, are as follows:
1. Rectangle 1: 1 unit wide and 12 units long
2. Rectangle 2: 2 units wide and 6 units long
3. Rectangle 3: 3 units wide and 4 units long