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[Solved] Area of the rectangle

 
Polygons
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June 15, 2021 3:14 pm
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Staff 
(@armor)
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A rectangular park 60 m long and 40 m wide hsa two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

 

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June 15, 2021 3:14 pm
Topic starter
Staff 
(@armor)
Admin
  Honorable Member
317 Posts
156 153 0

Area of the park \small =(60*40)m^2=2400 m^2

Area of the lawn \small =2109 m^2

Area of the crossroads \small =(2400-2109)m^2=291m^2

Let the width of the road be x metres. Then,

\small 60x+40x-x^2=291

\small \Rightarrow x^2-100x+291=0

\small \Rightarrow (x-97)(x-3)=0

x=3

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