On a centimeter dot grid, draw all the possible rectangles with a perimeter of 14 cm and sides whose lengths are whole centimeters. Label the lengths of two adjacent sides of each rectangle.
P = 2L + 2W
1 by 6
2 by 5
3 by 4
Sorry I don't know.
To draw all the possible rectangles with a perimeter of 14 cm on a centimeter dot grid, we can follow these steps:
Step 1: Understand the problem
The problem asks us to draw rectangles with a perimeter of 14 cm on a centimeter dot grid. The sides of the rectangles should have whole number lengths.
Step 2: Determine possible side lengths
To find the possible side lengths for the rectangles, we need to consider the properties of a rectangle's perimeter. The perimeter of a rectangle is the sum of all its sides. In this case, the perimeter is 14 cm. Since the problem specifies that the side lengths should be whole numbers, we need to think of all possible pairs of whole numbers that add up to 14.
Let's list the pairs of whole numbers that add up to 14:
- (1,13)
- (2,12)
- (3,11)
- (4,10)
- (5,9)
- (6,8)
- (7,7)
Step 3: Draw the rectangles
Using the pairs from Step 2, we can draw the rectangles on the centimeter dot grid. Here's how we can do it for each pair:
- For the pair (1,13), draw a rectangle with a length of 1 cm and a width of 13 cm.
- For the pair (2,12), draw a rectangle with a length of 2 cm and a width of 12 cm.
- For the pair (3,11), draw a rectangle with a length of 3 cm and a width of 11 cm.
- For the pair (4,10), draw a rectangle with a length of 4 cm and a width of 10 cm.
- For the pair (5,9), draw a rectangle with a length of 5 cm and a width of 9 cm.
- For the pair (6,8), draw a rectangle with a length of 6 cm and a width of 8 cm.
- For the pair (7,7), draw a square with sides measuring 7 cm.
Label the lengths of two adjacent sides of each rectangle.
Step 4: Complete the drawing
After drawing all the rectangles, make sure to label the lengths of two adjacent sides of each rectangle to indicate their measurements. For example, if you drew a rectangle with a length of 2 cm and a width of 12 cm, label these measurements adjacent to the corresponding sides.
By following these steps, you should be able to draw all the possible rectangles with a perimeter of 14 cm on a centimeter dot grid and label the lengths of two adjacent sides of each rectangle.