College

Exercise 3.2.3

A new deck will be 12 feet long by 14 feet 8 inches wide. The width of each board plus the spacing between boards is 4 inches. How many 12-foot boards will it take to build a deck that is 14 feet 8 inches wide?

A. 42 boards
B. 44 boards
C. 168 boards
D. 176 boards

Answer :

Final answer:

To calculate the number of 12-foot boards needed for a 14-foot 8-inch wide deck, convert the width to inches and then divide by the width of each board.


Explanation:

To find out how many 12-foot boards it will take to build a deck that is 14 feet 8 inches wide, we first need to convert the width of the deck to inches. Since there are 12 inches in a foot, the width of the deck is 14 * 12 + 8 = 176 inches. Now we can calculate the number of boards needed. The width of each board plus the spacing between boards is 4 inches, so each board covers 12 - 4 = 8 inches. Therefore, the number of boards needed is 176 / 8 = 22. So, the answer is option B) 44 boards.


Learn more about calculating number of boards needed for a deck here:

https://brainly.com/question/19052543