Question

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?
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Answer 1

Area of the park = (60 x 40) m2 = 2400 m2. Area of the lawn = 2109 m2. Area of the crossroads = (2400 - 2109) m2 = 291 m

Answer 2

Answer:

3

Step-by-step explanation:

Area of the park = (60 x 40) = 2400m²

Area of the lawn = 2109m²  

Area of the crossroads = (2400 - 2109) = 291m²  

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.