Question

Ross needs to buy a countertop for a laundry room. He calculated the area to be 12 square feet. The actual are is 11.8 square feet. What is Ross's percentage error?
1.02%
1.69%
20%
98%

Answer 1

Ross percentage error's is 1.69%

Answer 2

Answer:

Ross's percentage error is 1.69%.

Step-by-step explanation:

\sf{Percentage~ error= \frac{|Approximate ~-~ Actual|}{|Actual|}}

Ross got the approximate area as 12, while the actual area was 11.8. So, let's plug it in to the formula.

\sf{Percentage~ error= \frac{|Approximate ~-~ Actual|}{|Actual|}= \frac{|12-11.8|}{|11.8|}= \frac{|0.2|}{|11.8|}= \frac{0.2}{11.8} \approx 0.0169 }

Multiply 0.0169 by 100 to make it into a percent.

0.0169 * 100 = 1.69%

Ross's percentage error is 1.69%.

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