Question

Find the probability that a chosen point at random in the trapezoid shown lies in either of the shaded regions.

Answer 1

First you have to get the area of the triangles:
Left triangle has a base of (16-7-4) = 5
Left Triangle:
\[(1/2)(5)(4) = 10\]
Right Triangle:
\[(1/2)(4)(4) = 8 \]
Total area:
\[10+8+(7)(4) = 46\]
To calculate the chance we get the area of the triangles / total area:
\[18/46 = 9/23\]

Answer 2

thnk you