How do I raise a price by 40%, and how do I find the length of something with only the area and width

Given:
Price of sweater = $30
December price increased = 20%
Price increased by 40%
Find-: Price of sweater in-store now.
Sol:
December price is :
Price increased = 20%
If the price is 100 then the increased price is 120
For $30.
[tex]\begin{gathered} =\frac{120}{100}\times30 \\ \\ =12\times3 \\ \\ =36 \end{gathered}[/tex]December price is $36.
Then the price increased 40%
[tex]\begin{gathered} \text{ price 100 then increased price =140} \\ \\ \text{ if price 1 then increased price = }\frac{140}{100} \\ \\ \text{ price is 36 then increased price =}\frac{140}{100}\times36 \\ \\ =\frac{14}{10}\times36 \\ \\ =50.4 \end{gathered}[/tex]So $50.4 is a sweater price is now.