Rohan wants to renovate his room he calls an architect for this work to measure the room the Length breadth and height of the room are 8m50cm, 6m25 cm and 4 m 75 cm respectively he wants to put it longest rod that can measure the dimension of the room exactly??
Answers
The longest rod that can measure the dimension of the room exactly is 0.25 m or 25 cm.
Step-by-step explanation:
It is given that,
The dimension of the room:
Length = 8 m 50 cm = 850 cm
Breadth = 6 m 25 cm = 625 cm
Height = 4 m 75 cm = 475 cm
In order to find the longest rod that Rohan can use to measure all 3 dimensions of room exactly is to find their H.C.F. :
850 = 2 * 5 * 5 * 17
625 = 5 * 5 * 5 * 5
475 = 5 * 5 * 19
H.C.F = 5 * 5 = 25
∴ H.C.F of 850 cm , 625 cm and 475 cm is 25 cm or 0.25 m.
Thus, the longest rod that can measure all the dimension of the room is 0.25 m or 25 cm.
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