Question

A rectangle has an area of 12 cm² what could be the length and width of the rectangle

Answer 1

To find the possible length and width of the rectangle, we need to consider its factors. The factors of 12 are: 1, 2, 3, 4, 6, and 12.

The length and width of a rectangle cannot be negative or zero, so we can eliminate 1 as a valid option.

Now let's assign the remaining factors as the length and width:

If the length is 2 cm, the width would be 12 cm (2 x 6 = 12).
If the length is 3 cm, the width would be 4 cm (3 x 4 = 12).
If the length is 4 cm, the width would be 3 cm (4 x 3 = 12).
If the length is 6 cm, the width would be 2 cm (6 x 2 = 12).
If the length is 12 cm, the width would be 1 cm (12 x 1 = 12).

Therefore, the possible length and width of the rectangle are: (2 cm, 6 cm), (3 cm, 4 cm), (4 cm, 3 cm), (6 cm, 2 cm), and (12 cm, 1 cm).