The perimeter of a regular hexagon is 42 inches.

Let ℓ represent the length of each side of the hexagon. Which equation models the problem?
Solve this equation to find the length of each side of the hexagon.
inches

1 answer

To find the length of each side of a regular hexagon given its perimeter, we can start with the definition of the perimeter of a hexagon.

A regular hexagon has 6 equal sides, and the perimeter \( P \) can be represented by the equation:

\[ P = 6\ell \]

where \( \ell \) is the length of each side.

Given that the perimeter of the hexagon is 42 inches, we can substitute this value into the equation:

\[ 42 = 6\ell \]

To solve for \( \ell \), we can divide both sides of the equation by 6:

\[ \ell = \frac{42}{6} \]

Calculating the right side:

\[ \ell = 7 \]

Therefore, the length of each side of the hexagon is 7 inches.