Question

The length and breadth of a rectangular field are 30 meters and 15 meters respectively.A path 2 meters wide runs all around inside it.Find the area of the path.

Answer 1

Answer:

Given a rectangular field of dimensions

30m × 15 m ✓

So let us find the area of this field which is as follows✓

$= > area \: = 30 \times 15 \\ \\ = >area = 450m^{2}$

A/Q , A path is there surmounted the rectangular field whose width is 2 m

So Let us again find the area of the rectangular filed along with the width of the path ✓

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New dimensions of the field

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The new dimensions will be length and breadth of the field + ( The two times width of the path )

Length = 30( 30+2 )m

Length = 32m

Breadth = (15+2)m

Breadth = 17 m

Now new area -

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$= > area = 32 \times 17 \\ \\ = > area = 544m ^{2}$

Now ,to find the area of the path which is surmounted the rectangular field we have to subtract the new area of the rectangular field from the previous area of the same rectangular field✓

Area of the path -

$new \: area \: -previous \: area \\ \\ = > 544 - 450 \\ \\ = > area \: of \: the \: path \: = 94m ^{2}$

✓✓✓✓✓