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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

100 Points! Geometry question. Photo attached. Please show as much work as possible-example-1
User Moonglum
by
8.4k points

1 Answer

4 votes

Answer:

probability : 4/7 ≈ 0.57

Explanation:

b₁ = 3 + 4 + 3 = 10

b₂ = 4

h² = 5² - 3² = 4²

⇒ h = 4

Ar of trapezium =
(b_1 + b_2)/(2)h


(10 + 4)/(2) 4\\\\= 14*2\\\\= 28

Ar of shaded region = h² = 4² = 16

Probability that the point lies on the shaded region =
(Ar \;of \;shaded \;region )/(Ar\; of\; total \;region )

= 16/28

= 4/7

≈ 0.57

User Chou
by
7.5k points

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