The sides of a pentagonal field (not regular) are $1737 m, 2160 m, 2358 m, 1422 m and 2214 m respectively .$ Find the greatest length of the tape by which the five sides may be measured completely.

$7$

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$13$

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$11$

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$9$

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Solution

The correct option is D
$9$

Explanation of correct option-
Factorize the given numbers-
$1737 = 193 \times 9 2160 = 240 \times 9 2358 = 262 \times 9 1422 = 158 \times 9 2214 = 246 \times 9$
$∵$ The greatest factor of all these numbers is $9$
Hence, the greatest length of the tape by which the five sides may be measured completely is $9 m$

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The sides of a pentagonal field (not regular) are 1737m,2160m,2358m,1422mand2214mrespectively. Find the greatest length of the tape by which the five sides may be measured completely.

The correct option is D 9Explanation of correct option-Factorize the given numbers-1737=193×92160=240×92358=262×91422=158×92214=246×9∵The greatest factor of all these numbers is 9Hence, the greatest length of the tape by which the five sides may be measured completely is 9m

The sides of a pentagonal field (not regular) are $1737 m, 2160 m, 2358 m, 1422 m and 2214 m respectively .$ Find the greatest length of the tape by which the five sides may be measured completely.