Question

The length of breadth of a 6m 30 cm 5 m 85cm find the largest rod which can measure the two dimensions of the tomm exactly

Answer 1

Appropriate Question :-

• The length and breadth of a rectangular room are 6 m 30 cm and 5 m 85 cm respectively. Find the length of the largest rod which can measure the two dimensions of the room exactly.

Answer :-

• The length of the longest rod is 45 cm.

To find :-

• The length of the largest rod which can measure the two dimensions of the room exactly.

Step-by-step explanation :-

Given that :-

• Length of the rectangular room = 6 m 30 cm.

• Breadth of the rectangular room = 5 m 85 cm.

Converting the dimensions to cm :-

• Length = 6 m 30 cm = 600 cm + 30 cm = 630 cm.

• Breadth = 5 m 85 cm = 500 cm + 85 cm = 585 cm.

Here,

• We are asked to find the length of the longest rod.

Now,

$\underline{\boxed{\sf Longest \: rod = HCF_{(two \: dimensions)}}}$

Finding the HCF of 630 and 585 :-

• We get the HCF as 45.

Hence :-

• The length of the longest rod is 45 cm.

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