Chapter 6.4, Problem 5GP

To determine

To find: Percent error.

Answer to Problem 5GP

Percent error is $6.67\%$

Explanation of Solution

Given information:

Measured area $=24$ square inches

Actual area $=22.5$ square inches.

Percent error $=\frac{A}{O}\times 100$

Where

  $A=$ Absolute value.

  $O=$ Actual value.

From given information

Measured area $=24$ square inches

Actual area $=22.5$ square inches.

Absolute value = Measured value $-$ Actual value.

  $\begin{array}{l}\Rightarrow A=24-22.5\\ \Rightarrow A=1.5\end{array}$

Therefore,

Percent error $=\frac{1.5}{22.5}\times 100$

  $\Rightarrow$ Percent error $=\frac{150}{22.5}$

  $\Rightarrow$ Percent error $=6.67$

So, Percent error is $6.67\%$ .