Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle either is in the trapezoid or in the triangle.
+91 We can compare the areas of the shapes to the probability that points will get chosen inside them.
Area of the Triangle = bh/2
= 7*4/2
= 14 m2
Area of the Trapezoid = (ab/2)h
= (8*13/2)*4
= 52*4
= 208 m2
Area of the Rectangle = bh
= 17*25
= 425 m2
Now, the final probability is =
\({14 + 208}\over{425}\)
= 222/425
