Victor is measuring his bodily dimensions. His neck is 14.72 inches in circumference, and his forearm is 25.81 centimeters long. There are 2.54 centimeters in 1 inch. Which of Victor’s measurements is longer, and by what percent?
Answer
A
Victor’s forearm is 75.34% longer than the circumference of his neck.
B
Victor’s forearm is 43.66% longer than the circumference of his neck.
C
The circumference of Victor’s neck is 57.03% longer than his forearm.
D
The circumference of Victor’s neck is 44.86% longer than his forearm.
Explanation
Convert the neck circumference to centimeters: 14.72 × 2.54 = 37.3888 cm. The neck measurement is longer than the 25.81 cm forearm by 37.3888 − 25.81 = 11.5788 cm. Relative to the forearm, that difference is (11.5788 ÷ 25.81) × 100 ≈ 44.86%, so the circumference of Victor’s neck is 44.86% longer than his forearm.
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