A rectangle has an area of 36m2 list all possible lengths of sides using while numbers it could have
I will assume your
"using while numbers" should say
"using whole numbers"
so 36
= 1 x 36
= 2 x 18
= 3 x 12
= 4 x 9
= 6 x 6
To find all the possible lengths of the sides of a rectangle with an area of 36m² using whole numbers, you need to determine all the pairs of factors of 36. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Since a rectangle has two sides, let's form all possible pairs of these factors:
Pair 1: (1, 36)
Pair 2: (2, 18)
Pair 3: (3, 12)
Pair 4: (4, 9)
Pair 5: (6, 6)
These pairs represent all the possible combinations of side lengths that could give a rectangle with an area of 36m².
Therefore, the possible lengths of the sides of the rectangle are:
- 1m and 36m
- 2m and 18m
- 3m and 12m
- 4m and 9m
- 6m and 6m (a square)
Note that the sides of a rectangle can be interchanged, meaning (1m, 36m) would be the same as (36m, 1m), so there are actually 10 possible combinations.