Question

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. A triangle is inside of a rectangle. The height of the triangle is the same as the height of the rectangle. Assuming the dart lands in the rectangle, what is the probability that it lands inside the triangle?

Answer 1

25%

Explanation:

Answer 2

25%.

Explanation:

Let E be the event that the dart lands inside the triangle.

We have been given that a rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters.

We know that probability of an event represents the chance that an event will happen.

`\text{Probability}=\frac{\text{Favorable no. of events}}{\text{Total number of possible outcomes}}`

`\text{Probability that dart lands inside the triangle}=\frac{\text{Area of triangle}}{\text{Area of rectangle}}`

`\text{Probability that dart lands inside the triangle}=(162)/(648)`

`\text{Probability that dart lands inside the triangle}=0.25`

Convert into percentage:

`0.25* 100\%=25\%`

Therefore, the probability that dart lands inside the triangle is 25%.