Question

What is the length of the longest tape that can be used to measure the sides of a field of 750 feet x 525 feet?

• A. 10 feet
• B. 25 feet
• C. 50 feet
• D. 75 feet

Answer 1

The correct option is D 75 feet

The tape is to be used to measure both the dimensions, that means it should be a factor of both of them and since we need to find the longest tape, that means we need to find the HCF of 750 and 525.

$750=2\times 3\times 5^3$

$525=3\times 5^2\times 7$

$HCF=3\times 5^2=75$

Hence, the length of the longest tape that can be used to measure a field of 750 feet x 525 feet is 75 feet.