Need help! The problem is: draw all the possible rectangles with a perimeter of 26 centimeters and whole number lengths of sides for each rectangle label the lengths of two adjacent sides. Dot array homework sheet. Thanks!
1 x 12
2 x 11
3 x 10
4 x 9
5 x 8
6 x 7
To solve this problem, we need to find all the possible rectangle dimensions with a perimeter of 26 centimeters. Let's break it down step by step:
1. Understand the problem:
- We need to find all possible rectangles.
- The rectangles should have a perimeter of 26 centimeters.
- The lengths of the sides of the rectangles should be whole numbers.
2. Use the formula for the perimeter of a rectangle:
- The perimeter of a rectangle is calculated by adding the lengths of all four sides.
- For a rectangle with side lengths a and b, the formula for the perimeter is: P = 2a + 2b.
3. Find possible side lengths:
- Since we know the perimeter is 26 centimeters, we can use the formula to find possible combinations of side lengths that add up to 26.
- Let's list all the possible combinations where the side lengths are whole numbers:
- 1, 12
- 2, 11
- 3, 10
- 4, 9
- 5, 8
- 6, 7
4. Draw the rectangles:
- Now, for each combination of side lengths, we can draw a rectangle and label the lengths of the adjacent sides.
- For example, for the combination 1, 12, we draw a rectangle where one side is 1 cm and the adjacent side is 12 cm.
- Similarly, for 2, 11, we draw a rectangle with one side as 2 cm and the adjacent side as 11 cm.
5. Complete the dot array homework sheet:
- Follow the instructions provided on the dot array homework sheet to draw the rectangles with the labeled side lengths.
- The dot array may provide guidelines or specific instructions on how to draw the rectangles accurately.
In summary, to draw all the possible rectangles with a perimeter of 26 centimeters and whole number lengths of sides, list the possible combinations of side lengths that add up to 26 and then draw the rectangles accordingly.