Question

(a) Find all the possible dimensions (in natural numbers) of a rectangle with a perimeter 36 cm and find their areas.

(b) Find all the possible dimensions (in natural numbers) of a rectangle with an area of 36 sq cm, and find their perimeters.

Answer 1

(a)

| Dimensions | Area |
| in cm | in cm2 |
| 17 x 1 | 17 |
| 16 x 2 | 32 |
| 15 x 3 | 45 |
| 14 x 4 | 56 |
| 13 x 5 | 65 |
| 12 x 6 | 72 |
| 11 x 7 | 77 |
| 10 x 8 | 80 |
| 9 x 9 | 81 |

(b)

| Dimensions | Perimeter |
| in cm | in cm2 |
| 36 x 1 | 74 |
| 18 x 2 | 40 |
| 12 x3 | 30 |
| 9 x 4 | 26 |
| 6 x 6 | 24 |