Answer:
To find the probability that the randomly selected point will lie inside the square, we need to find the area of the square and the area of the figure, and then divide the area of the square by the area of the figure.
The area of the square is 7 mm x 7 mm = 49 mm^2.
To find the area of the figure, we can divide it into a rectangle and two right triangles. The rectangle has dimensions of 8 mm x 14 mm, so its area is 8 mm x 14 mm = 112 mm^2. Each right triangle has base 8 mm and height 6 mm, so each triangle has an area of (1/2) x 8 mm x 6 mm = 24 mm^2. The total area of the figure is therefore 112 mm^2 + 24 mm^2 + 24 mm^2 = 160 mm^2.
The probability of selecting a point inside the square is then 49 mm^2 / 160 mm^2, which is approximately 0.3063 or 30.63%.
Therefore, the answer is closest to 26.1%, which is the third option.
Explanation: