Question

25. The length, breadth and height of a room are 825cm, 675cm and 450cm respectively. Find
the longest tape which can measure the three dimensions of the room exactly.​

Answer 1

Answer:length =825m

Breadth=675m

Height=450m

So ,the longest tape will be

The H.C.F. of (825,675and 450 m)

Now, h.c.f. of 825= 3*5*5*11*11

H.c.f. of 625= 3*3*3*5*5

H.c.f. of 450= 2*3*3*5*5

So, the common factors are = 3*5*5 = 75m .

So the longest rod will be = 75 m.