SOLUTION: A cross section of a standard or nominal board measures 11 1/2 in by 7 1/2 in. The rough board is 12in by 8in but is planed and dried to the finished size. What percent of the wo

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A cross section of a standard or nominal board measures 11 1/2 in by 7 1/2 in. The rough board is 12in by 8in but is planed and dried to the finished size. What percent of the wo      Log On


   



Question 930994: A cross section of a standard or nominal board measures
11 1/2 in by 7 1/2 in. The rough board is 12in by 8in but is planed and dried to the finished size. What percent of the wood is removed in planing and drying?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
11 1/2 = 11.5
7 1/2 = 7.5

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Old Area: 12 * 8 = 96 square inches

New Area: 11.5*7.5 = 86.25 square inches

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Percent Change = [(New - Old)/(Old)]*100

Percent Change = [(86.25- 96)/(86.25)]*100

Percent Change = (-0.11304)*100

Percent Change = -11.304 %

The percent change is negative to represent a percentage decrease.

So roughly 11.304% of the wood is removed.
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