On grid paper, how many different rectangles can you draw with an area of 18 square units? Find the perimeter of all possible rectangles.

1 answer

To find the different rectangles with an area of 18 square units on grid paper, we can list out the possible dimensions:

1 x 18
2 x 9
3 x 6

There are three different rectangles that can be created with an area of 18 square units.

To find the perimeter of each rectangle, we can use the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

1. For the 1 x 18 rectangle:
P = 2(1 + 18) = 40 units

2. For the 2 x 9 rectangle:
P = 2(2 + 9) = 22 units

3. For the 3 x 6 rectangle:
P = 2(3 + 6) = 18 units

Therefore, the perimeter of all possible rectangles with an area of 18 square units are 40 units, 22 units, and 18 units.