In which case perimeter decrease when area increases .

Dear student,

There is no such case where perimeter decreases when area increases.

However, there are many incidents where perimeter increases but the area decreases. Kindly go through one such case below:-

Consider a case of a rectangle whose length is 6 cm and breadth is 1 cm
We have,

$$\begin{gathered} Perimeter of reac\tan gle=2\left(6+1\right) --[Peri. of rec\tan gle=2\left(l+b\right)] \\ =2\times 7 \\ 14 cm \\ Area of rec\tan gle=6\times 1=6 c{m}^2 --[Area of rec\tan gle=l\times b] \end{gathered}$$
Clearly, here Perimeter of rectangle > Area of rectangle

Regards