Question

a square lawn is surrounded by a path .if the area of path is 165m ,find the cost of levelling the path at ₹20 per sq.m​

Answer 1

Answer:

the cost of levelling the path at ₹20 per sq.m is 165*20=₹ 3300

Answer 2

Answer:

mark as a brainliest answer

Step-by-step explanation:

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,:

  x2=(x + 5)2−165

   x2=(x2 + 10x +25)−165m2

   x2=x2+10x+25−165

   x2=x2 +10x−140

   x2 −140=x2−10x

   x2−x2−140=−10x

  −140=−10x

  i.e 140=10x

   ∴x=140/10=14

Since the side of the lawn = 14m

The area of the lawn=(14)2or196 m2 .