on centameter dot array draw all possible rectangles with a perimeter of 16 cm and sides whose lengths are whole centimeters
4 by 4
3 by 5
2 by 6
1 by 7
To draw all possible rectangles with a perimeter of 16 cm and sides whose lengths are whole centimeters, we can use a centimeter-dot array. Let's break down the steps:
1. Start by creating a square grid on a sheet of graph paper, with each square representing one centimeter. This grid will serve as our centimeter-dot array.
2. Now, let's understand the perimeter of a rectangle. The perimeter is the sum of all four sides of a rectangle.
3. Since we want to create rectangles with a perimeter of 16 cm, we need to find all possible combinations of side lengths whose sum is 16. Remember, the sides should be whole numbers.
4. Let's list down the possible side lengths:
- Length 1 cm, Width 7 cm (1+1+7+7 = 16)
- Length 2 cm, Width 6 cm (2+2+6+6 = 16)
- Length 3 cm, Width 5 cm (3+3+5+5 = 16)
- Length 4 cm, Width 4 cm (4+4+4+4 = 16)
5. Now, let's use the centimeter-dot array to draw these rectangles. For each combination, find the starting point on the array, then count the required number of squares to form the rectangle.
- For Length 1 cm, Width 7 cm: Start at any point on the array and draw a rectangle of width 7 squares and length 1 square.
- For Length 2 cm, Width 6 cm: Start at any point on the array and draw a rectangle of width 6 squares and length 2 squares.
- For Length 3 cm, Width 5 cm: Start at any point on the array and draw a rectangle of width 5 squares and length 3 squares.
- For Length 4 cm, Width 4 cm: Start at any point on the array and draw a square of 4x4 squares.
6. Repeat step 5 for all the combinations listed above.
By following these steps, you will be able to draw all the possible rectangles with a perimeter of 16 cm and sides whose lengths are whole centimeters using a centimeter-dot array.