Answer:
[tex](2+x).(3+2x)[/tex] is the total number of patches in the quilt after 'x ' weeks.
Step-by-step explanation:
Given:
Irene has completed rectangular section which is 2 patches long and 3 patches wide.
To find:
Formula for number of patches after x weeks.
Solution:
Total number of patches in the first week = 2 + 2 +2 = 6
OR
we can simply calculate the number of patches by multiplying 2 with 3.
Given that every week,
The quilt will be one patch longer and 2 patches wider.
After [tex]x[/tex] number of weeks,
The quilt will be [tex]x \times 1[/tex] patches longer and [tex]x \times 2[/tex] patches wider.
OR
The quilt will be [tex]x[/tex] patches longer and [tex]2x[/tex] patches wider.
Initially, it was 2 patches long and 3 patches wide.
So, after x weeks:
The quilt will be [tex]2+x[/tex] patches longer and [tex]3+2x[/tex] patches wider.
And total number of patches, after x weeks will be given as:
[tex](2+x).(3+2x)[/tex]
