Question

The measurements of a room are 7 m 50 cm, 6 m and 3 m 75 cm. Find the length
of the longest rod that can measure all the three dimensions of the room exactly​

Answer 1

Answer:

75cm

Step-by-step explanation:

taken Hcf of measurements:

• 7.50m=750cm
• 6m=600cm
• 3.75m=375cm

• 750=2×3×5×5×5
• 600=2×2×2×3×5×5
• 375=3×5×5×5

HCF=3×5×5

=75cm

so the longest rod that can measure all the three dimensions of the room exactly will be 75cm

Answer 2

Firstly,

Firstly, 7.50m =7.50 ×100

Firstly, 7.50m =7.50 ×100 =750cm

Firstly, 7.50m =7.50 ×100 =750cm 6m =6 ×100

Firstly, 7.50m =7.50 ×100 =750cm 6m =6 ×100 =600cm

Firstly, 7.50m =7.50 ×100 =750cm 6m =6 ×100 =600cm 3.75m =3.75 ×100

Firstly, 7.50m =7.50 ×100 =750cm 6m =6 ×100 =600cm 3.75m =3.75 ×100 375cm

Firstly, 7.50m =7.50 ×100 =750cm 6m =6 ×100 =600cm 3.75m =3.75 ×100 375cmnow, according to the question;

Firstly, 7.50m =7.50 ×100 =750cm 6m =6 ×100 =600cm 3.75m =3.75 ×100 375cmnow, according to the question;HCF(750, 690, 375),

750 = 2×5×5×5×3

600= 2×2×2×5×5×3

375= 5×5×5×3

HCF( 750, 600, 375 ) = 3×5×5

= 75cm

Hence, The length of rof of room is 75cm.

THANK YOU.