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A rectangular park 60 m long and 40 m wide has 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?


Options:
A .  2.91 m
B .  3 m
C .  5.82 m
D .  None of these
Answer: Option B

Area of the park = (60 x 40) m2 = 2400 m2.

Area of the lawn = 2109 m2.

 A Rectangular Park 60 M Long And 40 M Wide Has Two Concrete... Area of the crossroads = (2400 - 2109) m2 = 291 m2.

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

60x + 40x - x2 = 291

 A Rectangular Park 60 M Long And 40 M Wide Has Two Concrete... x2 - 100x + 291 = 0

 A Rectangular Park 60 M Long And 40 M Wide Has Two Concrete... (x - 97)(x - 3) = 0

 A Rectangular Park 60 M Long And 40 M Wide Has Two Concrete... x = 3.



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