ny flower bed 300m² 154 an 키 = 146 m² An acus of a acus of Diameter Conver Ahor A pathway is to be constructed around a rectangular gross lawn measuring 50 m by 30 m- . the width of the path is am Find the area of the path.
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1
Answer:
the area of path is 936cm²
Answered by
2
Answer:
Given, dimensions of rectangular park = 50mx40m
So, Are of park = 50*40 = 2000m²
Area of the grass strip surrounding the pond = 1184 m²
Hence, area of the pond = lb = 2000-1184 = 816m²
Take lengthlength=l and breadth= b
⇒ lb = 816m²
Let the width of the grass strip be 'x'
So, (50-2x)(40-2x) = 816
⇒ 2000 - 100x - 80x + 4x² = 816
⇒ 2000-180x+4x² = 816
⇒4x²-180x+1184 = 0
⇒x²-45x+296 = 0
⇒x²-37x-8x+296=0
⇒x=37, x=8
But x=37 is not possible
∴ Width of the grass strip = 8m
Length of the pond = 50-16 = 34m
Breadth of the pond = 40-16 = 24m
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