1. if the perimeter of the rectangle is 100m,find its dimensions if its area is a maximum. a.complete the table below for the possible dimensions of the rectangle and their corresponding area. the first column has been completed for you. Width (w) 5 10 15 20 25 30 35 40 45. Length (l) 45. Area (A) 225 b.what is the largest area that you obtained? c. what are the dimensions of a rectangle with the largest area? d.what are the dimensions of a rectangle with the largest area? d.the perimeter P of the given rectangle is 100. Make a mathematical statement for the perimeter of the rectangle. e.simplify the obtained equation and solve for the length l of the rectangle in terms of its width w. f.express the area A of a rectangle as a function of width w. h.express the function in standard form. what is the vertex? I.graph the data from the table in a showing the relationship between the width and the area. j.what have you observed about the vertex of the graph in relation to the dimensions and the largest area? ​