Answer:
[tex]Probability = 84\%[/tex]
Step-by-step explanation:
First, calculate both areas
[tex]Area = Length * Width[/tex]
The area of the outer rectangle is:
[tex]Big\ Area = 20 * 25[/tex]
[tex]Big\ Area = 500cm^2[/tex]
The area of the small rectangle is:
[tex]Small\ Area = 10 * 8[/tex]
[tex]Small\ Area = 80cm^2[/tex]
The area outside the small rectangle is:
[tex]Outside = Big - Small[/tex]
[tex]Outside = 500cm^2 - 80cm^2[/tex]
[tex]Outside = 420cm^2[/tex]
So, the probability that it falls outside the paper inside is:
[tex]Probability = \frac{Outside}{Big\ Area}[/tex]
[tex]Probability = \frac{420cm^2}{500cm^2}[/tex]
[tex]Probability = \frac{420}{500}[/tex]
[tex]Probability = 0.84[/tex]
Express as percentage:
[tex]Probability = 0.84*100\%[/tex]
[tex]Probability = 84\%[/tex]
See attachment for rectangle
