Practice: Find the discriminant of the above quadratic equation and find the condition on P and A under which the above problem has no solution. Solve the above equation for L and find W using W = P / 2 - L. Rewrite as a standard quadratic equation in L Find W and L in terms of P and A.Īnd W by P / 2 - L in A = W * L to obtain Let W and L be, respectively, the width and length of the rectangle. Let P be the perimeter of a rectangle and A its area. There are conditions under which this problem has a solution (see formulation of problem below). Since they help us to reimagine things and see common objects in different ways, they give us a fresh perspective. These riddles are particularly funny because they involve some clever thinking. The outputs are the width, length and diagonal of the rectangle. Some have you thinking about math, while some are focused on wordplay.
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