Question 209290: write and simplify the rational expression that represents the probability of randomly hitting the unshaded region of the rectangle
out side rectangle dimensions l = (5x +4) w = (x+5)
inside shaded rectangle dimensions l = (x+5) w = (x+3)
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! for larger rectangle,,,l=(5x+4),,,,,w=(x+5),,Al=l*w=(5x+4)(x+5)
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for smaller rectangle,,,l=(x+5),,,,,w=(x+3),,,,,As = lw=(x+3)(x+5)
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To calculate the probability of hitting IN the smaller shaded rectangle
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%=As/Al= {(x+3)(x+5)] / {5x+4)(x+5)} = (x+3)/(5x+5)
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To calculate the probability in the unshaded area, use 1-p of shaded,,
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or P in unshaded = 1-{(x+3)/(5x+5)}
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To "simplify" further,,,LCD = (5x+5)
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P(unshaded) = { (5x+5)-(x+3)} / (5x+5) = (4x +2) / (5x+5)
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