Question

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

Answer 1

Answer:

Answer:

25 cm

Step-by-step explanation:

Given :The Length breadth and height of Room are 1050 cm, 750 cm and 425 CM respectively.

To Find : find the length of the longest tape which can measure three dimensions of home exactly

Solution:

We will find HCF .

2 | 1050 2 | 750 5 | 425

5 | 525 5 | 375 5 | 85

5 | 105 5 | 75 17 | 17

3 | 21 5 | 15 | 1

7 | 7 3 | 3

| 1 | 1

1050 = 2 \times 5 \times 5 \times 3 \times 71050=2×5×5×3×7

750 = 2 \times 5 \times 5 \times 5 \times 3750=2×5×5×5×3

425 = 5 \times 5 \times 17425=5×5×17

HCF = 4 5 \times 545×5

HCF = 25

Hence 25 cm is the length of the longest tape which can measure three dimensions of home exactly

please mark me as brainliest answer

Answer 2

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 × $5^{2}$ × 3

⇒ 750 = 2 × 3 × $5^{3}$

⇒ 425 = $5^{2}$ × 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.