Question

a square lawn is surrounded by a path 2 m wide around it. if the area of the path is 192 sq. metre , find the area of lawn​

Answer 1

It's a square so, the length of path inside would be equal to that of square's

So, ar of of path = ar of big square -ar of small square

Side of big square = x(let)

Side of small square = x-4-4=x-8

So, 320=x²-(x-8)²

320=x²-(x²+64-16x)

320=x²-x²-64+16x

320+64/16=x

x=24

Now side of small square = 24-8=16

So area of small square i. e. Lawn =16²=256m²