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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
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B
25 feet
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C
50 feet
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D
75 feet
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Solution

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=2×3×53

525=3×52×7

HCF=3×52=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.


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