A 2 m wide pathway is developed parallel to the rectangular park’s boundary. If the breadth of the park is 15 m and the area of the park is 300 m2, then what will be the area of the pathway?
Correct Answer : a ) 124 m2Explanation :
Let us assume the length of the park will be x m.
According to the given information, the schematic of the park can be shown as
As, given breadth of park = 15 m
And, Area of park = 300 m2
Length * breadth = 300 m2
15x = 300
x = 20 m
Length of the pathway inside boundary will be ⇒ 20 – 2 – 2 = 16 m
And, breadth of the pathway inside boundary will be ⇒ 15 – 2 – 2 = 11 m
Area of the pathway = area of park – shaded area
= 300 – (16 x 11)
= 124 m2
Hence, (A) is the correct answer.
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