Question

In square QRST, points U and V are midpoints. If the square has a side length of 18 mm, what is the probability that a point chosen at random in the square lies in the shaded triangle region? Round the answer to the nearest thousandth. A. 0.028 B. 0.056 C. 0.125 D. 0.222

Answer 1

C.

Explanation:

Answer 2

Calculate first the area of the shaded triangle region and the area of the square then you could get the probability of the point
The formula for the area of triangle is b h / 2
Where:b = h = half of side length of square = 9 mm
Area of triangle = 9 mm * 9 mm / 2
Area of triangle = 40.5 mm^2

Area of square = s^2
Area of square = (18 mm)^2
Area of square = 324 mm^2

Probability that a point is in the shaded region
= Area of triangle / Area of square
= 40.5 / 324
= 0.125

The answer is letter C. 0.125