He wanted t make another quilt with an area of 42 square feet. What are its possible dimensions if they must be whole numbers? Which length and width make the most sense for a quilt?
6 by 7
Fcy. F
To find the possible dimensions for a quilt with an area of 42 square feet, we need to factorize 42.
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, and 42.
Since the dimensions must be whole numbers, the possible dimensions for the quilt are:
- Length: 1 ft, Width: 42 ft
- Length: 2 ft, Width: 21 ft
- Length: 3 ft, Width: 14 ft
- Length: 6 ft, Width: 7 ft
Now, let's consider which length and width make the most sense for a quilt. This can depend on personal preference and the purpose of the quilt.
If the quilt is for a bed, a length and width of 6 ft and 7 ft may make the most sense as it would fit comfortably on a typical bed.
However, if the quilt is for decorative purposes, a length and width of 3 ft and 14 ft may make more sense as it would provide a longer and narrower shape, which is often seen in decorative throw quilts.
Ultimately, the choice of dimensions will depend on individual needs and preferences.
To find the possible dimensions of the quilt with an area of 42 square feet, we can list out all the pairs of whole numbers whose product is 42. Then we can determine which length and width make the most sense for a quilt.
To generate the list of possible dimensions, we can start with the lowest whole number (1) and find its corresponding pair that multiplies to 42. As we go through the numbers, we need to find pairs that multiply to 42 and include both length and width.
Let's start listing:
1 x 42 = 42
2 x 21 = 42
3 x 14 = 42
6 x 7 = 42
So, these are the possible dimensions (length x width) that result in an area of 42 square feet: 1x42, 2x21, 3x14, and 6x7.
Now, to determine which length and width make the most sense for a quilt, let's consider a few factors:
1. Proportions: A square-shaped quilt (where length and width are equal) might have a more balanced and aesthetically pleasing look.
2. Practicality: A quilt that is too long or too wide might be difficult to handle and use comfortably.
3. Availability: Common quilt sizes, such as twin, full, queen, and king, can provide guidance for selecting appropriate dimensions.
Based on these factors, the dimensions 6x7 (or 7x6) appear to make the most sense for a quilt, as they provide a good balance between proportions, practicality, and availability.