On a centimer dot array draw all possible rectangles with perimeter of 16 cm and sides whose lengths are whole centimeters label the lengths of two adjacent sides of each rectangle
no grids here, but surely you can see that the dimensions must be among
1x7
2x6
3x5
4x4
2x6
To draw all possible rectangles with a perimeter of 16 cm on a centimeter dot array, follow these steps:
1. Start with a blank centimeter dot array or grid paper.
2. Begin by sketching a rectangle with dimensions 1 cm by 7 cm. This is one of the possible rectangles with a perimeter of 16 cm.
3. Move on to the next rectangle by decreasing the length of one side and increasing the length of the other side. For example, draw a rectangle with dimensions 2 cm by 6 cm.
4. Continue this process, decreasing one side's length and increasing the other side's length, until you have exhausted all possibilities.
Here are the possible rectangles with their dimensions:
- Rectangle 1: Length = 1 cm, Width = 7 cm
- Rectangle 2: Length = 2 cm, Width = 6 cm
- Rectangle 3: Length = 3 cm, Width = 5 cm
- Rectangle 4: Length = 4 cm, Width = 4 cm
- Rectangle 5: Length = 5 cm, Width = 3 cm
- Rectangle 6: Length = 6 cm, Width = 2 cm
- Rectangle 7: Length = 7 cm, Width = 1 cm
By following these steps, you will have drawn all possible rectangles with a perimeter of 16 cm on a centimeter dot array.