Question

there is a rectangular field of length 122m and breadth 92m. A wall 1m thick is built around the field inside the boundary. I what is the length of the largest tape that can measure the inside dimensions of the field exactly?

Answer 1

Answer:

Length of largest tape = 30 meter

Explanation:

Given a field whose shape is rectangle.

Dimensions are :

Length of rectangle = 122 meter

Breadth of the rectangle =  92 meter

Now construct the 1 meter boundary wall inside the ground.

So, length and breadth of free space is reduced by the 2 meter

length of inside free space = 92 - 2 = 90 meter

Breadth of inside free space  = 122 - 2 = 120 meter

We need to find the length of largest possible tape that can measure the dimension of the free space ground.

So, we will find the HCF of the 120 & 90

Prime factor of 120 = 2*2*2*3*5

Prime factor of 90 = 2*3*3*5

Highest common factor  = 2*3*5 = 30

So, 30 meter longest tape

That's the final answer.

I hope it will help you.

Answer 2

Ans is 30 meter

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