2 cm green square is painted on a triangle with a base of 6 and a height of 7. A dot will be randomly placed on the triangle. What is the probability the dot will be placed outside of the square?
81%
19%
To find the probability that the dot will be placed outside of the square on the triangle, we need to consider the area of the square compared to the area of the triangle.
First, let's find the area of the square. The square has a side length of 2 cm, so its area is 2 cm x 2 cm = 4 cm^2.
Next, let's find the area of the triangle. The triangle has a base of 6 cm and a height of 7 cm. The area of a triangle is given by the formula: area = (base x height) / 2. Plugging in the values, we get: area = (6 cm x 7 cm) / 2 = 42 cm^2 / 2 = 21 cm^2.
Now, we can calculate the probability by dividing the area of the square by the area of the triangle:
Probability = Area of the square / Area of the triangle
= 4 cm^2 / 21 cm^2
Therefore, the probability that the dot will be placed outside of the square on the triangle is approximately 0.1905 or 19.05%.