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akurathi12
A triangular park needs to be wired along its boundary. Which of the following can be the total length of the wire required if lengths of the two sides of the park are 4m and 7m?

I. 16m
II. 21m
III. 23m

A. I only
B. II only
C. I& II only
D. II& III only
E. I,II& III

In such questions, find the extremes

(I) Minimum perimeter..
for this find the LEAST possible dimension of the third side..
THIRD side will be GREATER than the DIFFERENCE of the other two sides.. THIRD side > (7-4), so Perimeter >7+4+(7-4).....P>14

(I) Maximum perimeter..
for this find the GREATEST possible dimension of the third side..
THIRD side will be SMALLER than the SUM of the other two sides.. THIRD side < (7+4), so Perimeter <7+4+(7+4).....P<22

so \(14<perimeter<22\)

I and II are in the range but II is not..

C
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Hello from the GMAT Club BumpBot!

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