Question

A right triangle with a base of 15 centimeters and height of 20 centimeters. A rectangle with length 6 centimeters and height 8 centimeters is inside of the triangle.

Complete the steps to find the probability that a randomly chosen point on the triangle is in the shaded rectangle.

The area of the triangle is
cm2.
The area of the rectangle is
cm2.
The probability that the point is in the shaded area is
.

Answer 1

Answer: Find the area of the triangle:

Base * height / 2 = 15 * 20 / 2 = 150 cm^2

Find the area of the rectangle:

Length * height = 6 * 8 = 48 cm^2

Let the probability of the randomly chosen point being in the shaded rectangle be P. Then the probability of the randomly chosen point being outside the rectangle is 1-P:

P + (1-P) = 1

Find P:

P = (48/150) * 100% = 32%

Thus, the probability that the randomly chosen point is in the shaded rectangle is 32%.

Explanation: