Question

datermine the longest tape that can be used to measure exactly the length 84 cm 1 m 38 cm and 12cm​

Answer 1

Answer:

Plz mark as brainliest plz plz plz if it helps

Step-by-step explanation:

First change the length into cm.

[1m= 100cm]

7m= 700cm

3m 85cm= 3×100+85= 385cm

12m95cm= 12×100+95=1295cm

Find the H.C.F of 3 lengths 700cm, 385cm, 1295cm

700= 2× 2× 5×5×7 = 2²×5²×7

385= 5×7×11

1295= 5×7×37

H.C.F= 5×7 = 35

_____________________________

The longest tape which can be used to measure exactly the length 700cm, 385cm & 1295cm = 35

_____________________________

Hope this will help you..

Answer 2

Step-by-step explanation:

Length of the longest tape in centimetres is the H.C.F. of 385,700 and 1295

385=5×7×11

700=2×2×5×5×7

1295=5×7××37

HCF=35cm.

Hence the longest tape is 35cm.