Question

a square lawn is surrounded by a path 2.5 metre wide if the area of the path is 165 metre square find the area of the lawn​

Answer 1

Answer:

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The area of the lawn​ is 196 m²

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Step-by-step explanation:

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Square lawn surrounded by path  = 2.5 m wide

Area of the path = 165 m²

The side of the lawn = x

The side of the lawn including path - x + 2 (2.5 ) = x + 5

Area of the square = side × side

x² = ( x + 5 ) - 165

x² = ( x² + 10x + 25 )

x² =  x² + 10x - 140

x² = 140 - x² = 10x

-140 = -10x

140 = 10x

x = 140 / 10 = 14

The side of the lawn is 14m

14 × 14 = 196 m²

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