The area of a rectangle is 18 square units. The length of the sides of the rectangle are whole-number units. What are some possible perimeters of the rectangle? (1 point)

Question

• 11 units
• 18 units
• 22 units
O 36 units
O 38 units

Answer 1

The possible perimeters of the rectangle can be 10 units and 20 units.

To find the possible perimeters of the rectangle, we need to find the pair of whole numbers whose product is 18 and then calculate the perimeter using that pair.

The factors of 18 are:
1 x 18
2 x 9
3 x 6

From these factors, we can see that the pairs of whole numbers that have a product of 18 are (1,18), (2,9), and (3,6).

For the pair (1,18):
Perimeter = 2(1 + 18) = 2(19) = 38 units

For the pair (2,9):
Perimeter = 2(2 + 9) = 2(11) = 22 units

For the pair (3,6):
Perimeter = 2(3 + 6) = 2(9) = 18 units

Therefore, the possible perimeters of the rectangle can be 18 units and 22 units.