Question

Are the lengths of sides of various rectangles with the same perimeters in inverse proportion?

Answer 1

Let the length and breadth of the first rectangle be l₁ and b₁ respectively.

Let the perimeter of the various rectangles be p.

Perimeter of the first rectangle is given by p = 2(l₁ + b₁)

Similarly, perimeter of the second rectangle is given by p = 2(l₂ + b₂)

Perimeter of the third rectangle is given by p = 2(l₃ + b₃)

…

Thus, the perimeter of the various rectangles is directly proportional to the sum of the length and breadth of the rectangles.

Disclaimer:

We cannot comment on the proportionality of the perimeter of the various rectangles and the length of its sides.