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.
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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.
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