Name the lengths of the sides of three rectangles with perimeters of 12 units. Use only whole numbers..
2x length + 2 x width. 12/12=6 so 5 by 1 4 by 2 3 by 3/
To find the lengths of the sides of three rectangles with a perimeter of 12 units, we need to consider all possible combinations of lengths for each rectangle.
Rectangle 1:
If we let one side be 1 unit, the other side will be 5 units to form a rectangle. (1 + 5 + 1 + 5 = 12)
Rectangle 2:
If we let one side be 2 units, the other side will be 4 units to form a rectangle. (2 + 4 + 2 + 4 = 12)
Rectangle 3:
If we let one side be 3 units, the other side will be 3 units to form a square. (3 + 3 + 3 + 3 = 12)
Therefore, the three rectangles with perimeters of 12 units are:
1) Lengths: 1 unit and 5 units
2) Lengths: 2 units and 4 units
3) Lengths: 3 units and 3 units
To find the lengths of the sides of rectangles with a perimeter of 12 units, you need to consider the possible combinations of whole number side lengths.
Let's begin by listing all the possible combinations that result in a perimeter of 12 units:
Option 1:
Length: 1 unit
Width: 5 units
Perimeter: 1 + 1 + 5 + 5 = 12 units
Option 2:
Length: 2 units
Width: 4 units
Perimeter: 2 + 2 + 4 + 4 = 12 units
Option 3:
Length: 3 units
Width: 3 units
Perimeter: 3 + 3 + 3 + 3 = 12 units
Option 4:
Length: 4 units
Width: 2 units
Perimeter: 4 + 4 + 2 + 2 = 12 units
Option 5:
Length: 5 units
Width: 1 unit
Perimeter: 5 + 5 + 1 + 1 = 12 units
So, the combinations of whole number side lengths for rectangles with a perimeter of 12 units are:
1 unit by 5 units
2 units by 4 units
3 units by 3 units
4 units by 2 units
5 units by 1 unit