A rectangular park 60m long and 40m wide

Asked by admin @ in Math viewed by 408 People

23. A rectangular park 60m long and 40m wide has two pathways of equal width

running in the longitudinal and transverse direction and crossing each other atright angles in the middle of the park. The rest of the park is used as lawn. if the area of the lawn is 2019 sq.m, then what is the width of the pathway?a. 2.5mb. 3mс. бmd. 4.5m​

Answered by admin @


Answer:

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.


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