Question
Brie designed a carnival game that involves tossing a beanbag into the box shown. In order to win a prize , the beanbag must fall inside the black rectangle . The Probability of winning is equal to the ratio of the area of the black rectangle to the total area of the face of the box shown. Find this probability in simplified form .
Hint:
The area of a rectangle with length l and breadth b is:
A = lb
We are asked to find the winning probability in simplified form.
The correct answer is: The probability to win is area of the black rectangle: area of the whole box. That is: x / 6(x + 1)
Step 1 of 3:
Consider the face of the box. The length and breadth of the box is 3x and x+1 respectively.
So, the area of the rectangle would be:
A = lb
= 3x (x + 1)
Step 2 of 3:
Consider the black rectangle. The length and breadth of the figure is x and 
x respectively.
So, the area of the rectangle would be:
A = lb
Step 3 of 3:
The probability to win is area of the black rectangle: area of the whole box. That is:
Ratio of two values can be written as, 
, x:y.
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