Question

find the perimeter. write your answer as a fraction or as a whole or mixed number.

square diagram with each side labeled \\(\frac{15}{17}\\) mi

\\(\boxed{}\\) miles

Explanation:

Step1: Recall the formula for the perimeter of a square

The perimeter \( P \) of a square is given by \( P = 4 \times \text{side length} \), where the side length of the square here is \( \frac{15}{17} \) miles.

Step2: Substitute the side length into the formula

Substitute \( s=\frac{15}{17} \) into the formula \( P = 4s \). So we have \( P=4\times\frac{15}{17} \).

Step3: Calculate the product

To multiply 4 and \( \frac{15}{17} \), we use the rule \( a\times\frac{b}{c}=\frac{a\times b}{c} \). Here, \( a = 4 \), \( b=15 \), and \( c = 17 \). So \( 4\times\frac{15}{17}=\frac{4\times15}{17}=\frac{60}{17} \). We can also write \( \frac{60}{17} \) as a mixed number: \( \frac{60}{17}=3\frac{9}{17} \), but since the problem allows a fraction, \( \frac{60}{17} \) is also acceptable.

Answer:

\( \frac{60}{17} \) (or \( 3\frac{9}{17} \))