Question

2. Shannon wants to build a regular pentagonal sun deck. She is going to

use five 2-by-6's, each 12 ft long, to frame the perimeter. She plans to
finish the deck with 4 in. cedar planks, laid side by side and parallel
to one of the sides. Determine the length of the longest cedar plank.​

Answer 1

The longest cedar plank required for Shannon's regular pentagonal sun deck, laid parallel to one of its sides, would be 12 feet or 144 inches.

Step-by-step explanation:

Shannon wants to build a regular pentagonal sun deck using 12 ft long 2-by-6's. Each side of a regular pentagon is equal in length, and the perimeter is the sum of all sides. As Shannon has five 2-by-6's, each side of the pentagon will measure 12 feet in length.

The longest cedar plank needed would be along a diagonal inside the pentagon. However, since the cedar planks are laid side by side and parallel to one of the sides, the longest plank will be equal to the length of a side of the pentagon. Therefore, the length of the longest cedar plank required would be 12 feet or 144 inches, since the planks are laid parallel to a side.

Answer 2

oops sorry didn't mean to post