Question

if the area of jodi's deck is 36 square feet. what are the possible whole number dimensions of her deck?

Answer 1

1 foot by 36 feet

2 feet by 18 feet

3 feet by 12 feet

4 feet by 9 feet

6 feet by 6 feet

Answer 2

36 has 9 divisors, so there are 5 pairs of dimensions that are possible. Here, we list the smallest dimension first. The numbers in each pair can be used for both (length, width) and (width, length), so there are 9 possible combinations of (length, width).

(1 ft, 36 ft), (2 ft, 18 ft), (3 ft, 12 ft), (4 ft, 9 ft), (6 ft, 6 ft)