21. Applied Optimization [10pt): A trapezoidal-shaped civic plaza is being built that will public beach. Consult the feature a partially enclosed greenspace (grass field) beside a diagram below (...
21. Applied Optimization [10pt): A trapezoidal-shaped civic plaza is being built that will public beach. Consult the feature a partially enclosed greenspace (grass field) beside a diagram below (not necessarily drawn to scale) and answer the following questions. Greenspace (a) Given the height h and width w of the field, what is the formula for the length of the fencing used to designate the area, and what is the formula for the area of the enclosed greenspace? (b) If you are given 4500 feet of fencing, what are the design dimensions (h and w) that will enclose the greatest area of greenspace?
21. Applied Optimization [10pt): A trapezoidal-shaped civic plaza is being built that will public beach. Consult the feature a partially enclosed greenspace (grass field) beside a diagram below (not necessarily drawn to scale) and answer the following questions. Greenspace (a) Given the height h and width w of the field, what is the formula for the length of the fencing used to designate the area, and what is the formula for the area of the enclosed greenspace? (b) If you are given 4500 feet of fencing, what are the design dimensions (h and w) that will enclose the greatest area of greenspace?