Question

A square lawn has a 2 metre wide path surrounding it. if the area of the path is 136 metre square find the area of the lawn. ​

Answer 1

Answer:

225 m²

Step-by-step explanation:

It is given that a square lawn has a 2m wide path surrounding it. If the area of the path is 136 square m.

Area of a square = a²

Let the side length of lawn be x.

So, the side length of path is x+4.

The area of path is the difference between area of square path and area of lawn.

A = (x + 4)² - x²

136 = x² + 16 + 8x - x²

120 = 8x

x = 15 m

The length of lawn is 15 cm.

The area of lawn will be,

= 15²

= 225 m²

Hope it helps!

Answer 2

Answer:

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Step-by-step explanation:

square lawn has a 2 metre wide path surrounding it. if the area of the path is 136 metre square find the area of yhgtk lawn.