Find the area of the shaded region in the figure below, if the diameter of the circle is 12 and the height of the rectangle is 11. Use 3.14 for pi and round to the nearest hundredth.

sour cream ain't sour and there are suic1de capsules in ALL of your teeth do with that information as you will

21

step-by-step explanation:

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4