Divide the perimeter by 5 since it is regular. 60/5 = 12. Split the hexagon into a triangle and a rectangle. Find the area of each and add them together. Area of the rectangle is 12*12 = 144. To find the area of the triangle, you need to find an angle measure= y, hypotenuse = c, and a leg = a or b. An easy way to find an angle measure is to cut down the altitude and find the angle next to the base and altitude which would be 90° due to the fact that the triangle is regular also. With the regular triangle split in half, you have two right angle which form both 90-45-45 triangles. Use this formula, 
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to find the area of the triangle which equals to 50.91. Add (((144+50.91 = 194.91))) I hope I got this right if not, i'm sorry lol.
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ANSWER
A. (243pi+162) ft^2
EXPLANATION
The area of the shaded region is the sum of the area of the major sector and the area of the isosceles triangle.
Area of major sector
<h3>The area of the isosceles triangle is calculated using the formula;
The area of the shaded region
The correct answer is A.