Question

Julia lives in a 2 story house with windows all across the back of the house that overlooks her garden and small pond. Currently Julia has a small deck that is not big enough to put an outdoor grill on. She would like to entertain, enjoy her garden and pond, as well as cook some food on the grill. The old deck size is 6’ x 4’ but she is looking to increase the size of the deck by 168 sq ft. The new deck size will be 16’ (or 192”) x 12’. These new deck boards are 1” thick. The deck boards are $12.15 a bdft. How many board feet of material will it take to cover the new deck? How much will the new deck material to cover the deck cost?

Answer 1

Julia will need 192 board feet of decking material to cover her new deck that measures 16' x 12', with a cost of $2,332.80.

Step-by-step explanation:

To answer the question regarding the material needed for Julia's new deck, we must first calculate the total board footage required to cover an area that is 16 feet by 12 feet, where each deck board is 1 inch thick and then determine the cost.

First, calculate the area of the new deck:
Area = Length × Width = 16 feet × 12 feet = 192 square feet.

Next, we convert this area into board feet. Since board footage is a measurement of volume, we need to consider the thickness of the boards, which is 1 inch or 1/12 of a foot. So, the calculation for board footage is:
Board footage = Area × Thickness = 192 sq ft × (1/12) ft = 192 board feet.

To find out how much it will cost to cover the new deck, we will multiply the total board feet by the price per board foot:
Total cost = Board footage × Price per board foot = 192 bdft × $12.15 = $2,332.80.

Therefore, Julia will need 192 board feet of decking material, and it will cost her $2,332.80 to cover her new 16' x 12' deck.