SOLUTION: PLEASE HELP- Whats the area of the shaded figure? Round your answer to the nearest tenth. Can anyone show me step by step how to figure this out? 12.5cm is in the inside. 8.4 is

Question 655352: PLEASE HELP-
Whats the area of the shaded figure? Round your answer to the nearest tenth.
Can anyone show me step by step how to figure this out? 12.5cm is in the inside. 8.4 is at the bottom. THANKS!
http://i46.tinypic.com/2u8koes.png < picture of the problem with multiple choice answers
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
if you look closely at shaded area, you will see that that area could be calculated as following:
you have a square inside ellipse with sides and , so its
area is:

than you have two half circles with same diameter of that you should deduct from the area of the square, and these two halves make one full circle with area where
so, we have

find their difference:

finaly, you have two half circles, one on left and one on right side of the square, that make one full circle...its diameter is ; so, its radius is and the area will be

now, your shaded area will be:

...round to one decimal place

so, your answer is

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