Answer:Length = 2.47 metersWidth = 1.87 metersStep-by-step explanation:The only portion that seems to have a complete question is "The lenght of a rectangular table is 0.6m. more than twice its width and its area is 4.6m²?."We'll assume the length of a rectangular table is 0.6m more than it's width. Using L and W for length and width, we can write: (1) L = W + 0.6mThe area of a rectangle is Area = L*W. So we can write: (2) L*W = 4.6 m^2Now use the definition of L, [L = W + 0.6m] in the second equation: (3) L*W = 4.6 m^2 (W + 0.6m)*W = 4.6 m^2 W^2 + 0.6W m = 4.6 m^2or W^2 + 0.6W m - 4.6 m^2 = 0Use the quadratic equation to solve. There are two roots, but one is negative. We can discard the negative value, since length will not be negative. The remaining positive value, for W, is 1.87 meters. Since length, L, is 0.6 more, Length is 1.87 + 0.6 or 2.47 meters.