How to find the perimeter of a rectangle with only the area?

The area is the product of the length and the breadth of the rectangle. And, the perimeter is the sum of the lengths and breadths of the rectangle.

Answer: Perimeter = 2(L + Area/L) units or 2(B + Area/B) units, where L and B are length and breadth respectively.

Let's understand more about the perimeter and the area of a rectangle.

Explanation:

For the given area of the rectangle, we need to know either the length or the breadth of the rectangle, to find the perimeter of the rectangle.

Area = L × B,  where L and B are length and breadth respectively.

Hence, B = Area /L  and L = Area /B.

Now applying this value in the Perimeter = 2(L + B), we have, Perimeter = 2(L + Area/L) units or 2(B + Area/B) units.

Thus, if the area of rectangle is given, then the Perimeter = 2(L + Area/L) units or 2(B + Area/B) units.