Question

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

Answer 1

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