A reroof area requires 14,720 sf of rigid insulation. Boards are 4 ft by 8 ft, and the order includes 5 percent waste. How many boards are needed?
Correct Answer
A) 483 boards
One board covers 32 sf. Adjusted area is 14,720 x 1.05 = 15,456 sf. 15,456/32 = 483 boards. Other choices omit waste, round to an arbitrary bundle count, or use a larger allowance.
Why This Is the Correct Answer
One board covers 32 sf. Adjusted area is 14,720 x 1.05 = 15,456 sf. 15,456/32 = 483 boards. Other choices omit waste, round to an arbitrary bundle count, or use a larger allowance.
Why the Other Options Are Wrong
Option B: 460 boards
insulation boards, choice a: 460 boards backs into 115 when divided by 4; the accepted setup gives 120.75 on that same base.
Option C: 500 boards
insulation boards, choice b: 500 boards backs into 125 when divided by 4; the accepted setup gives 120.75 on that same base.
Option D: 516 boards
insulation boards, choice c: 516 boards backs into 129 when divided by 4; the accepted setup gives 120.75 on that same base.
Memory Technique
Picture a inspection mark labeled insulation boards: finish every operation before accepting 483 boards.
Reference Hint
Open Roofing Construction and Estimating, Atcheson, 1995/2022 reprint; use the index entry or section for "Rigid roof insulation board quantity" to confirm that One board covers 32 sf.
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