Question

What side lengths of a rectangle (aka dimensions) will result in an area of 72 square units? List all possible solutions below as well as showing your work.

Answer 1

The possible dimensions for a rectangle with an area of 72 square units are 1x72, 2x36, 3x24, 4x18, 6x12, and 8x9.

Step-by-step explanation:

To find the possible side lengths of a rectangle that will result in an area of 72 square units, we need to consider the factors of 72. The factor pairs of 72 are 1 x 72, 2 x 36, 3 x 24, 4 x 18, 6 x 12, and 8 x 9. Therefore, the possible dimensions of the rectangle can be:

1. 1 unit by 72 units
2. 2 units by 36 units
3. 3 units by 24 units
4. 4 units by 18 units
5. 6 units by 12 units
6. 8 units by 9 units

Each pair of dimensions will result in an area of 72 square units.