The flag shown above is made of overlapping

equilateral triangles adf and bce. because ribbon

is to be sewn around the entire outer edge, it is

necessary to know the perimeter of the flag. if

line segment cd, line segment de, and line

segment ef each have length 10 inches, what

is the length, in inches, of the perimeter shown

in bold?

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.