Math, asked by riyaparihar36, 5 hours ago

the length and height of a room are 1050 cm 750 cm respectively find the length of the longest tape which van measures the 3 dimensions of the room exactly​

Answers

Answered by tanmayeejm
1

QUESTION :

The length, breadth and height of a room are 1050 cm, 750 cm and 425 cm respectively. Find the length of the longest tape which can measure the three dimensions of the room exactly.

GIVEN :

The length of the room = 1050 cm

The Breadth of the room = 750 cm

The Height of the room = 425 cm

TO FIND :

The length of the longest tape which can measure all the three dimensions of the room exactly = ?

STEP - BY - STEP EXPLANATION :

Here, the information is given that :

              => The length of the room = 1050 cm

              => The Breadth of the room = 750 cm

              => The Height of the room = 425 cm

Now we'll have to find the HCF of 1050 , 750 and 425. so that they'll be able to find the tape which will measure all the three dimensions of the room.

⇒ 1050 = 2 ×  × 3

⇒ 750 = 2 × 3 ×  

⇒ 425 =  × 17

HCF (Highest Common Factor ) = 750

Therefore, Now the length of the longest tape which can measure the three dimensions of the room exactly = 750 cm.

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