(Solved): A student was trying to determine the maximum area a rectangle could have if the perimeter was fix ...

A student was trying to determine the maximum area a rectangle could have if the perimeter was fixed at \( 110 \mathrm{~cm} \). She chose to graph the relationship between area and side length by setting up a spreadsheet to generate area data. Part of the spreadsheet and the generated graph have been show below. a) Given the above information determine the dimensions that give a maximum area. b) Determine the exact formula used to generate the area value in cell B3. c) Find the side length and the maximum area for a rectangle with a perimeter of \( 250 \mathrm{~cm}^{2} \).