Question

Randy drew a rectangle inside another with the size shown below on a piece of paper. He places the paper outside during a light rain. What is the approximate probability that a raindrop that lands on the paper will fall outside the shaded region?

Answer 1

`Probability = 84\%`

Explanation:

First, calculate both areas

`Area = Length * Width`

The area of the outer rectangle is:

`Big\ Area = 20 * 25`

`Big\ Area = 500cm^2`

The area of the small rectangle is:

`Small\ Area = 10 * 8`

`Small\ Area = 80cm^2`

The area outside the small rectangle is:

`Outside = Big - Small`

`Outside = 500cm^2 - 80cm^2`

`Outside = 420cm^2`

So, the probability that it falls outside the paper inside is:

`Probability = (Outside)/(Big\ Area)`

`Probability = (420cm^2)/(500cm^2)`

`Probability = (420)/(500)`

`Probability = 0.84`

Express as percentage:

`Probability = 0.84*100\%`

`Probability = 84\%`

See attachment for rectangle