Please use the solution below: Let P = perimeter, A = area As provided above, a = xy and We know that the formula to solve for the perimeter of a rectangle is P = 2x + 2y. Using the given 112m, we can solve the perimeter using the formula: 112 = 2x + 2y 56 = x + y
x = 56-y or y = 56-x Let's solve the perimeter in terms of y using the formula below: A = (56-y)(y) Find the derivative of A = 56-y^2 to get the value of y. dA/dy = 56-2y = 0 y = 56/2 y = 28 To find X, substitute the value of y in the equation x = 56 - y. x = 56 - 28 Therefore, x = 28. We can conclude that the figure is not a rectangle but a square.