How can you find the perimeter of a rectangle if you only know the area of it? The area of a rectangle 756 units squared. What is its perimeter?
1 Answer
Dec 21, 2015
It is not possible to determine the perimeter of a figure given its area.
(It is however possible to determine it's minimum perimeter; in this case
Explanation:
The diagram below shows how the area dose not determine the perimeter (notice that for ease of demonstration I've used a different area than given in the question.
The perimeter is minimized if the rectangle is a square (hinted at but not proven by the above diagram).
In this case for the question data value (area
each side would have a length of
and the perimeter would be