How do you find the area when you only know the perimeter? - Answers

It depends on the figure you talk about; for example:If circle: the Diameter D = perimeter/(Pai)Then the area = Pai x D2 / 4If square: the side length L = perimeter/4Then the area = L2If rectangle: then you should know either the length of one sides of the rectangle or to know the ratio of length to width. If you know either the length L or the width W, then you get unknown L or W from the equation:Perimeter = 2 x (L+W); then the area = L x WIf you know the ration x = L/W, then L = yWperimeter = 2 (L + W) = 2 (yW +W) = 2 W (y +1)Accordingly, you get W value and you get L value (=yW)Then the area = L x W=====================================Wonderful.Except that the question clearly stated "you only know the perimeter".So at every point where you postulate additional information, such asthe category of the shape, or one dimension of the rectangle, you'veclearly gone beyond the situation specified in the question.