Question

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 the square?

Answer 1

The area of the triangle is
(1/2)*(6)*(7) = 21 cm²

The area of the square is
(2)(2) = 4 cm²

The area of the triangle that is not covered by the square is
21 - 4 = 17 cm²

The probability that the dot will be placed outside the square is
17/21 

Answer: 17/21 (or 0.81)