Question

Explain how many different rectangles you can make with a perimeter of 32 units.​

Answer 1

dimensions which would give a rectangle a perimeter of 32 inches:

1 x 15

2 x 14

3 x 13

4 x 12

5 x 11

6 x 10

7 x 9

8 x 8

Explanation:

Answer 2

Well, it really just comes down to factoring the area into all of its components.

1 X 32 Perimeter is 2 + 64, or 66 m

2 X 16 Perimeter is 4 + 32 or 36 m

4 X 8 Perimeter is 8 + 16 or 24 m

8 X 4

16 X 2

32 X 1

Please note that the last 3 are just the first 3 in a different orientation and I don’t consider them to be unique. I noted them as a self-check to my own work. So we have 3 rectangles giving an area of 32 square meters and perimeters as noted above.