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

We can get the probability by 1st calculating the area of the shaded triangle region and the area of the square.

Area of triangle = 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

= 0.124

ANSWER: The closest answer is letter C. 0.125