He wanted to make another quilt with an area of 42 square feet. What are its possible dimensions if they must be a whole numbers? Which length makes most sence for a quilt?
2 by 24
3 by 14
6 by 7
How long is your bed?
the most reasonable would 7 by 6
To find the possible dimensions of a quilt with an area of 42 square feet using whole numbers, we need to find pairs of numbers that, when multiplied, give us 42.
One way to do this is by factoring 42. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.
Using these factors, we can form pairs of dimensions for the quilt. For example:
- 1 x 42 = 42
- 2 x 21 = 42
- 3 x 14 = 42
- 6 x 7 = 42
Therefore, the possible dimensions for the quilt (in length x width format) are:
1 x 42, 2 x 21, 3 x 14, and 6 x 7.
Now, to determine which length makes the most sense for a quilt, we need to consider the intended use and the design.
If the quilt is meant for a bed, the length that is closer to the standard bed dimensions would make the most sense. Standard bed sizes may vary, but a commonly used size is a twin bed with dimensions of approximately 39 x 75 inches.
Converting these dimensions to feet, we have 3.25 x 6.25 feet. Comparing this to our possible dimensions, 1 x 42 would be too long, 2 x 21 would also be too long, 3 x 14 would be too short, but 6 x 7 would be close to the dimensions of a twin bed.
Therefore, for a quilt that is intended for a bed, a length of 6 feet (which corresponds to the longer side) would make the most sense.