Pr-cal question 20 points a farmer has 120 feet of fencing available to build a rectangular pen for her pygmy goats. she wants to give them as much room as possible to run. what are the dimensions of the rectangular pen with the largest area? write an expression in terms of a single variable that would represent the area of a rectangle in this family. show your work.

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.