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Area - General Aptitude

Q1:

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?

A 2.91 m

B 3 m

C 5.82 m

D None of these

ANS:B - 3 m

Area of the park = (60 x 40) m2 = 2400 m2. Area of the lawn = 2109 m2.  Area of the crossroads = (2400 - 2109) m2 = 291 m2. Let the width of the road be x metres. Then, 60x + 40x - x2 = 291  x2 - 100x + 291 = 0  (x - 97)(x - 3) = 0  x = 3.