A rectangular field is 60 metres long and 40 meters wide. The field needs to be ploughed and it is to be covered with square blocks, all of the same size. What is the largest size of the square block which could be used for the purpose?
20

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Solution

The correct option is A 20
Given,
Length of the rectangular field = 60 metres
Breadth of the rectangular field = 40 metres

To find the largest size of the square block, we need to find the HCF of 60 and 40.

$60 = 2 \times 2 \times 3 \times 5$
$40 = 2 \times 2 \times 2 \times 5$

The H.C.F $= 2 \times 2 \times 5 = 20$

$∴$ The size of the square block = 20 m

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A rectangular field is 60 metres long and 40 meters wide. The field needs to be ploughed and it is to be covered with square blocks, all of the same size. What is the largest size of the square block which could be used for the purpose?20

The correct option is A 20Given, Length of the rectangular field = 60 metres Breadth of the rectangular field = 40 metres To find the largest size of the square block, we need to find the HCF of 60 and 40. 60=2×2×3×5 40=2×2×2×5 The H.C.F =2×2×5=20 ∴ The size of the square block = 20 m

A rectangular field is 60 metres long and 40 meters wide. The field needs to be ploughed and it is to be covered with square blocks, all of the same size. What is the largest size of the square block which could be used for the purpose?
20