Math, asked by ruchipathak6390, 4 months ago

a rectangular field is 40 m long and 20 broad two parts run parallel to the sides of the rectangular thought the centre of the field of which of the path is 2 metre respectively find the area of the paths.​

Answers

Answered by devanshrana4579
1

Answer

width = 1.5 m

Step-by-step explanation:

Let width of path x

Length =20+2x

Width =14+2x

Area of outer rectangular =l×b

=(20+2x)(14+2x)

=4x

2

+68x+280

Area of path:

4x

2

+68x+280−280=111

4x

2

+68x=111

4x

2

+68x−111=0

(4x

2

+74x−6x−111)=0

(2x−3)(2x+37)=0

x=

2

3

m or x=−

2

37

Since, width can not be −ve

Hence, the width is 1.5 m.

Answered by wiintersnow
5

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