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Koopa Troopa throws a dart at a parallelogram-shaped board, shown below. You know that $BC=10$, $AE=4$, and angle $BAD=45^\circ$. Assuming the dart will hit all spots on the board with equal likelihood, what is the probability the dart lands in triangle $ABE$? Express your answer as a decimal between 0 and 1.sad

Guest Aug 3, 2018
 #1
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Where is your picture??!!

Guest Aug 3, 2018
 #2
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I will insert one

Guest Aug 3, 2018
 #3
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Here is the picture

 

HERE IS THE PICTURE IF NEEDED

Guest Aug 3, 2018
 #4
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Since angle BAD =45 degrees, so is angle ABE, because it is a right triangle. Its height BE=4

 

Area =BC x BE(Height)

          = 10 x 4

          = 40 units^2 - the area of parallelogram.

 

Area of triangle ABE =1/2 x 4 x 4 =8 units^2

The probability that the dart will land in triangle ABE =8/40 =0.2

Guest Aug 3, 2018
edited by Guest  Aug 3, 2018

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