Question

The actual length of a soccer field is 500 feet. A measuring instrument shows the length to be

493 feet. The actual width of the field is 250 feet, but the recorded width using the same
measuring instrument is 246.5 feet. What is the measured length of the soccer field using the instrument?
A. 500 feet
B. 493 feet
C. 493.5 feet
D. 490 feet

Answer 1

The measured length of the soccer field using the instrument is approximately 500.57 feet.

Step-by-step explanation:

To find the measured length of the soccer field using the instrument, we need to calculate the scale factor by comparing the actual length to the recorded length. The scale factor is calculated by dividing the actual length by the recorded length. In this case, the scale factor is 500/493 = 1.0143. We can then find the measured length by multiplying the recorded length by the scale factor: 493 x 1.0143 = 500.57 feet. Therefore, the measured length of the soccer field using the instrument is approximately 500.57 feet (Option C).