Question

Determine the longest tape which can be used to measure exactly the length,breadth and height of a room which are 1050cm,7m50cm and 425cm respectively.

Answer 1

Answer:

The length, breadth and height of a room are 1050cm, 750cm and 425cm respectively.

To measure these length we need tape which is of length of common factor of all three lengths.

To find length of longest tape for measuring all three room dimensions exactly we have to find HCF of three numbers.

First we have to convert these numbers into prime factors.

So,

1050=21×50=7×3×2×5=2×3×5  

2

×7

750=25×30=2×3×5  

3

 

425=25×17=5  

2

×17

So, common among these factors is 5  

2

 

So, HCF=5  

2

=25

So, longest tape which can measure all three given lengths exactly is 25 cm

Step-by-step explanation:

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