Question

A rectangle has an area of 60 square feet. What are all the possible whole number dimensions of the rectangle

Answer 1

Explanation:

Factors of 60

1 X 60 ft

2 30

3 20

4 15

5 12

6 X 10

all of these are dimensions of a possible rectangle of 60 ft^2

Answer 2

The possible whole number dimensions of the rectangle are: 1 ft by 60 ft, 2 ft by 30 ft, 3 ft by 20 ft, 4 ft by 15 ft, 5 ft by 12 ft, and 6 ft by 10 ft.

Explanation:

If a rectangle has an area of 60 square feet, we can find its possible dimensions by listing all pairs of factors of 60. A factor of a number is a positive integer that divides the number evenly without leaving a remainder.

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

To find all possible whole number dimensions, we need to pair up these factors. For example, the dimensions could be 1 ft by 60 ft, or 2 ft by 30 ft. We can continue pairing up the factors until we have listed all possible combinations:

1 ft by 60 ft

2 ft by 30 ft

3 ft by 20 ft

4 ft by 15 ft

5 ft by 12 ft

6 ft by 10 ft

Therefore, the possible whole number dimensions of the rectangle are: 1 ft by 60 ft, 2 ft by 30 ft, 3 ft by 20 ft, 4 ft by 15 ft, 5 ft by 12 ft, and 6 ft by 10 ft.