Final answer:
To find the number of 12-foot boards needed to build the deck, calculate the total width of the deck and use it in the equation W / (12 + 1/3), where W represents the total width in feet.
Step-by-step explanation:
To find out how many 12-foot boards are needed to build the deck, we need to calculate the number of boards required to cover the total width of the deck. Given that the width of each board plus the spacing between boards is 4 inches, we need to convert 4 inches to feet. Since there are 12 inches in a foot, 4 inches is equal to 4/12 feet, which simplifies to 1/3 foot.
Now, we can calculate the number of 12-foot boards needed by dividing the total width of the deck by the width of each board plus spacing. Let's assume the total width of the deck is W feet. The equation for the number of boards needed is W / (12 + 1/3).
To solve for W, we need to know the specific total width of the deck. Once we have that value, we can substitute it into the equation and simplify to find the answer.
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