Question

Karen measures the width of a garden plot and records that it is 44.25 meters. Its actual width is 45.5 meters.

Answer 1

Answer

Find out the what is the percent error in the measurement, to the nearest tenth of a percent .  

To prove

Formula

$Percentage\ error = \frac{error\times 100}{exact}$

Where error = | Approx - Exact |

As given

Karen measures the width of a garden plot and records that it is 44.25 meters. Its actual width is 45.5 meters.

Approx value = 44.25 meters    

Actual value = 45.5 meters        

error = | 44.25 - 45.5 |

         = |-1.25|

         = 1.25

Put in the formula

$Percentage\ error = \frac{1.25\times 100}{45.5}$

$Percentage\ error = \frac{125}{45.5}$

Percentage error = 2.7%

Therefore the percentage error is 2.7% .