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Answer: D) 38 square cm</h3>
A slightly more accurate value is 38.28 cm^2, when using pi = 3.14
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Explanation:
The vertical height of the rectangle is 4 cm, which forms the diameter of the semicircle. The diameter cuts in half to 4/2 = 2, which is the radius.
The area of a full circle with radius r = 2 cm is approximately pi*r^2 = 3.14*2^2 = 12.56 square cm.
Cut that in half to get (12.56)/2 = 6.28 square cm. This is the approximate area of the semicircle.
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The area of the rectangle is length*width = 6*4 = 24 square cm.
The triangle has its bottom portion of 4 cm (because 10-6 = 4) and its height is 4 cm, so we get the triangle area of base*height/2 = 4*4/2 = 8 square cm.
The last thing we do is add up all the results we got:
6.28 + 24 + 8 = 38.28
That rounds to 38 square cm when rounding to the nearest whole number.
