A wood deck surface has 320 sf of coverage. Boards have a 5-1/2 in. actual face width, and the order includes an 8 percent cutting allowance. What linear footage is closest?
Correct Answer
D) 754 lf
Linear footage before allowance is 320 x 12 / 5.5 = 698.2 lf. Adding 8 percent gives 698.2 x 1.08 = 754.1 lf, or about 754 lf. Other choices omit the allowance, use a 6 in. face width, or add too much material.
Why This Is the Correct Answer
Linear footage before allowance is 320 x 12 / 5.5 = 698.2 lf. Adding 8 percent gives 698.2 x 1.08 = 754.1 lf, or about 754 lf. Other choices omit the allowance, use a 6 in. face width, or add too much material.
Why the Other Options Are Wrong
Option A: 699 lf
decking linear footage, choice a: 699 lf is wrong because 699 lf is the base quantity before the 8 percent add-on; the accepted calculation applies that add-on in.
Option B: 732 lf
decking linear footage, choice b: 732 lf implies about 4.84 percent added to 698.2; the stated add-on is 8 percent in.
Option C: 812 lf
decking linear footage, choice d: 812 lf is wrong because 812 lf implies about 16.3 percent added to 698.2; the stated add-on is 8 percent in.
Memory Technique
Keep a label beside decking linear footage: if one number is skipped, the option drifts away from 754 lf.
Reference Hint
Open Carpentry and Building Construction, 2016; use the index entry or section for "Deck board quantity by actual board face width" to confirm that Linear footage before allowance is 320 x 12 / 5.5 = 698.2 lf.
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