Question

20. The length of a rectangular park is twice its
breadth. An artificial circular lake, whose radius is 42 m is situated within the park. The area of the land portion of the entire park is 14456 sq m. Find the length of the park?
plz answer with step by step Explainable method ​

Answer 1

Answer:

length of park = 200 m

Step-by-step explanation:

let the breath of rectangular park , b = x metre

length of rectangular park ,l = 2x metre

radius of circular lake , r = 42 metre

area of land portion in park = 14456 m ^2

area of lake = phi * r^2

= 22/7 *42*42 = 5544 m^2

therefore , total area of rectangular park

= area of lake + area of land portion in park

= 5544 + 14456 = 20000 m^2

so, area of park = length *breath

20000 = x*2x

x = 100 m

breath of park = 100 m

length of park = 2x = 2 *100 =200 m

Answer 2

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