If you take a rectangle of area 32 sq cm, what will your answers be? Given any area, is it possible to predict the shape of the rectangle with the greatest perimeter as well as the least perimeter? Give examples and reasons for your answer.

For an area of 32 square cm, the rectangle with dimensions 1 × 32 has the greatest perimeter of 66 cm, while the one with 4 × 8 has the least perimeter of 24 cm. Compact shapes, such as squares or near-squares, minimize perimeter because the sides are balanced. Elongated shapes, with one very long and one short side, maximize perimeter. Thus, the more balanced the dimensions, the smaller the perimeter for a fixed area.

For more NCERT Solutions for Class 6 Math Chapter 6 Perimeter and Area Extra Questions and Answer:
https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-6/