The figure below shows half circles at the ends of a rectangle with the demensions shown. which is closest to the area of the figure in square inches?

75
95
106
154

The closest answer is 95 square inches. Here is why.  You can find the area of the rectangle by multiplying the length by the width.  This would be 15 x 5 = 75 square inches.  The area of the whole circle that is created when you put both halves together would be found by multiplying 3.14 x 2.5 in (the radius) x 2.5 in.  This answer is about 20 square inches.  The combined area is approximately 95 square inches.