Chase has 60 feet of Halloween lights he wants to string

Last updated: 7/11/2022

Chase has 60 feet of Halloween lights he wants to string around the perimeter of an enclosure that he will build. It is to be rectangular with a semi-circle on one edge, as shown in the drawing below. What is the maximum size of the area of the enclosure that he can build with his limited light string? a) Write an equation for the area with respect to the radius of the semi-circle. b) What radius and length and width of rectangle will maximize the area? c) What will that maximum area be?