Question

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

7
13
11
9

Answer 1

Answer: Fourth option is correct.

Step-by-step explanation:

Since we have given that

Dimensions of a pentagonal field are given by

1737 meters, 2160 meters, 2358 meters, 1422 meters and 2214 meters.

We need to find the greatest length of the tape by which the five sides may be measured completely.

So, for this, we will find H.C.F.

So, H.C.F. of (1737, 2160, 2358, 1422, 2214) = 9

So, 9 meters is the greatest length of the tape by which the five sides may be measured completely,

Thus, Fourth option is correct.