Question

to get from home to work, felix can either take a bike path through the rectangular park or ride his bike along two sides of the park. how much farther would felix travel by riding along two sides of the park than he would by taking the path through the park? f 1.7 mi g 0.6 mi h 2.5 mi j 0.1 mi

Explanation:

Step1: Find length of bike - path (diagonal)

Use Pythagorean theorem $a^{2}+b^{2}=c^{2}$, where $a = 0.7$ mi and $b = 2.4$ mi. So $c=\sqrt{0.7^{2}+2.4^{2}}=\sqrt{0.49 + 5.76}=\sqrt{6.25}=2.5$ mi.

Step2: Find length of riding along two sides

The sum of the two - side lengths is $0.7+2.4 = 3.1$ mi.

Step3: Find the difference in distances

Subtract the length of the bike - path from the length of riding along two sides. $3.1−2.5 = 0.6$ mi.

Answer:

G. 0.6 mi