Question

A square lawn has a 2m wide path surrounding it. If the area of the path is 136 square m, find the area of the lawn.Please give the ans with detailed steps.

Answer 1

square lawn =X
path 2m
out side =X+4

Answer 2

Answer:

The area of lawn is 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 is

$A=a^2$

Where a is side length.

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.

$A=(x+4)^2-x^2$

$136=x^2+8x+16-x^2$

$8x=120$

$x=15$

The length of lawn is 15 cm.

The area of lawn is

$A=(15)^2=225$

Therefore the area of lawn is 225 m².