Question

for his science fair project, aaron studied how bees make honey. now, he’s drawing a diagram of a honeycomb cell on a poster board. he draws a regular hexagon with a perimeter of 102 centimeters. let ( l ) represent the length of each side of the hexagon. which equation models the problem? ( 6l = 102 ) ( \frac{l}{6} = 102 ) solve this equation to find the length of each side of the hexagon. (\boxed{\text{centimeters}})

Explanation:

Step1: Identify the correct equation

A regular hexagon has 6 equal sides. The perimeter \( P \) of a regular hexagon is given by \( P = 6l \), where \( l \) is the length of each side. Here, the perimeter is 102 centimeters, so the equation should be \( 6l = 102 \).

Step2: Solve for \( l \)

To find \( l \), we divide both sides of the equation \( 6l = 102 \) by 6.
\[
l=\frac{102}{6}
\]
\[
l = 17
\]

Answer:

17