Question

Suzette measured the height of a window frame as 3.42 feet, but the actual height was 3.75 feet. What is the percentage of error in Suzette's measurement?

A) 8.80%
B) 20.96%
C) 11.91%
D) 9.64%

Answer 1

Suzette's measurement has an 8.80% error in measuring the height of the window frame, calculated by finding the absolute error and then dividing it by the actual value to find the percentage.

Step-by-step explanation:

The percentage of error in Suzette's measurement of the window frame can be calculated using the formula:

Error Percentage = (|Error| / Actual Value) × 100%

Firstly, we need to calculate the absolute error, which is the difference between the measured value and the actual value.

Absolute Error = |Measured Value - Actual Value| = |3.42 feet - 3.75 feet| = 0.33 feet

Now, we can calculate the error percentage:

Error Percentage = (0.33 feet / 3.75 feet) × 100% = 8.80%

Therefore, Suzette's measurement has an error percentage of 8.80%, which corresponds to option A).