a rectangular board has an area of 648 square centimeters. the triangular part of the board has an area of…

a rectangular board has an area of 648 square centimeters. the triangular part of the board has an area of 162 square centimeters. a dart is randomly thrown at the board. assuming the dart lands in the rectangle, what is the probability that it lands inside the triangle? round to the nearest whole percent. 18% 25% 35% 50%

a rectangular board has an area of 648 square centimeters. the triangular part of the board has an area of 162 square centimeters. a dart is randomly thrown at the board. assuming the dart lands in the rectangle, what is the probability that it lands inside the triangle? round to the nearest whole percent. 18% 25% 35% 50%

Answer

Explanation:

Step1: Recall probability - area formula

The probability $P$ that the dart lands inside the triangle is given by the formula $P=\frac{\text{Area of triangle}}{\text{Area of rectangle}}$.

Step2: Substitute the given areas

We know that the area of the triangle $A_{triangle}=162$ square - centimeters and the area of the rectangle $A_{rectangle}=648$ square - centimeters. So $P = \frac{162}{648}$.

Step3: Simplify the fraction and convert to percentage

$\frac{162}{648}=\frac{1}{4}=0.25$. To convert to a percentage, we multiply by 100, so $0.25\times100 = 25%$.

Answer:

B. 25%