NYC block

Bijan wants to go running during his family's vacation to New York City. To do so, he will run a neighborhood block 20 times. Bijan runs a total of 8 miles. The block has a length of 3/20 miles. Use the formula for the perimeter of the neighborhood block and the reciprocal to find the width w of the city block.

Correct answer:

w =  1/20 mi

Step-by-step explanation:

$$\begin{gathered} n=20 \\ t=8\text{mi} \\ l=\frac{3}{20}=0.15\text{mi} \\ p=t/n=8/20=\frac{2}{5}=0.4\text{mi} \\ p=2\cdot (w+l) \\ w=p/2-l=\frac{2}{5}/2-\frac{3}{20}=\frac{1}{20}\text{mi}=0.05\text{mi} \end{gathered}$$

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