Question

the length breadth and height of a room are 8.25 m , 6.75 m and 4.50 m respectively . find the length of the largest tape that can measure the three dimensions exactly .
options are
125
75
25
225
​

Answer 1

Answer:

225

Step-by-step explanation:

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Answer 2

Answer: 75 cm

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Step-by-step explanation:

Length of the room = 8m 25cm = 825 cm

Breadth of the room = 6m 75cm = 675 cm

Height of the room = 4m 50cm = 450 cm

Prime factorization of 825, 675 and 450 are as follows:

825 = 3×5×5×11

675 = 3×3×3×5×5

450 = 2×3×3×5×5

 

Common factors = 3×5×5

H.C.F. = 75

 

Hence, H.C.F. of 825, 675 and 450 is 75.

Therefore the length of the longest tap is 75 cm which can measure the three dimensions of the room exactly.

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