Question

answer this please ​

Answer 1

Answer:

170 cm or 1m 70 cm

Step-by-step explanation:

Given :

The length of a room=6m 80 cm

The breadth of a room=5m 10 cm

The height of a room = 3m 40 cm

To find :

the longest tape that can measure all the three dimensions exactly.

Solution :

Length of the room =6m 80cm=680 cm

Breadth of the room =5m 10cm=510cm

Height of the room=3m49cm=340cm

1m =100cm

The longest tape that can measure all the three dimensions exactly is their HCF.

680=2×2×2×5×17

510=2×3×5×17

340=2×2×5×17

the Common factors of 680,510 and 340 are 2,5,17

HCF of 680,510,340 is 170

The longest tape that can measure all the three dimensions exactly is their HCF

=170 cm or 1m 70cm