Christmas time is always stressful on Santa Claus. But it's also stressful on his reindeer, and they have begun to protest their living arrangements. Therefore, Santa decided to make them a nice new living space, so he asked for donations of fencing. He was delighted to have been donated a total of 888 meters of fencing, and he going to use ALL of it for his reindeer's new living spaces. First, he will use some of the fencing to make an overall large rectangular area. After that, he is going to use the rest of the fencing to subdivide that large area into six equally sized rectangular enclosures, all bordering each other, as shown in the figure below (all the lines represent fencing is being used). (Note that each small rectangle has the same length, and also, each small rectangle has the same width. However, it is NOT necessarily the case that the length equals the width,_ that is, although each small region is a rectangle, they are not necessarily squares). Your goal is to find the length and width of the overall (large) rectangular region which would maximize the TOTAL area (again, of the overall large region). Answer the questions below. Start by letting x and y be the width and length, respectively, of the overall (LARGE) rectangular area.X lI y === (a) In terms of x and y, determine the areaAof the LARGE overall rectangular region that you're trying to maximize. {Type an expression involving x and y only}. A: (b) Find a relationship between x and y and solve it for y in terms of x. (Type an expression involving x only. SIMPLIFY FULLY. Use integers, fractions, and/or radicals as needed - do NOT convert any numbers to decmals). y: (c) Substitute the expression for y from part (b) into the area Afrom part (a). (Type an expression involving x only. SIMPLIFY FULLY. Use integers, fractions, and/or radicals as needed - do NOT convert any numbers to decimals). A: (d) Now, answer the question by lling in the blanks below. (Type EXACT answers, using whatever combination of fractions, integers, and/or radicals as needed. Do NOT type any decimals!) To obtain the maximum area of the single OVERALL (LARGE) rectangular area, Santa should use a horizontal measure (of the overall LARGE rectangle) of x = meters and a vertical measure (of the overall LARGE rectangle) of y = meters. This gives the overall (LARGE) rectangular area a total area ofA = square meters