A \green{5 \times 11}5×11start color green, 5, times, 11, end color green rectangle sits inside a circle with radius of \blue{12}12start color blue, 12, end color blue.

What is the area of the shaded region?
Round your final answer to the nearest hundredth.

the given 6 = w/p is equivalent to 6p = w, where w is the total area of the walls and p is the area covered by a single can of paint.

knowing that 6 cans of paint will be needed, 6p = w becomes 6(6) = w = 36.   this tells us that the total area to be painted is 36 square units.