Question

the length and breadth of a field are 16m 17cm and 22m 77cm respectively.Obtain the maximum length of the rope which can measure the dimensions of the field in exact number of times

Answer 1

1 meter = 1000 cm
22×1000=22000
area of rectangle is= length x breadth
22000×77
=find the ancwer

Answer 2

Answer:

Maximum length of the rope = 33 cm

Explanation:

Considering, 1 m = 100 cm

So,

16m 17cm = 1617 cm

22m 77 cm = 2277 cm

The prime factorization of the numbers are shown below as;

1617 = 3 × 7 × 7 × 11

2277 = 3 × 3 × 11 × 23

So , H.C.F of 1617 cm and 2277 cm = 33 cm

Thus the rope has to be 33 cm which can measure the lengths in exact number of times.