Question

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A square lawn is surrounded by a 5 m wide path. If the area of the path is 400 m,find the area of the lawn.
Find​

Answer 1

Answer:

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Answer 2

Answer:

Consider the side of the lawn be x

Given width of the path 2.5m

Side of the lawn including path x+2(2.5)=x+5

Area of a square =(side)

2

So, area of lawn = (Area of the lawn including the path) - (Area of the path)

Therefore, According to the given question,:

x

2

=(x + 5)

2

−165

x

2

=(x

2

+ 10x +25)−165m

2

x

2

=x

2

+10x+25−165

x

2

=x

2

+10x−140

x

2

−140=x

2

−10x

x

2

−x

2

−140=−10x

−140=−10x

i.e 140=10x

∴x=140/10=14

Since the side of the lawn = 14m

The area of the lawn=(14)

2

or196 m

2

.

Step-by-step explanation:

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