Verified answer

Answer:

ᴛʜᴇ ᴀʀᴇᴀ ᴏꜰ ᴛʜᴇ ʟᴀᴡɴ ɪꜱ 225 ꜱQᴜᴀʀᴇ ᴍᴇᴛᴇʀꜱ.

Step-by-step explanation:

To find the area of the lawn, you need to subtract the area of the path from the total area including the path.

Let's denote the side length of the square lawn as "x" meters.

The area of the square lawn including the path is (x + 4) meters wide (since there's a 2-meter-wide path on all sides) and (x + 4) meters long.

So, the total area including the path is (x + 4)(x + 4) square meters.

Now, you're given that the area of the path is 136 square meters. So, you can set up the equation:

Total area including the path - Area of the path = Area of the lawn

(x + 4)(x + 4) - 136 = x^2

Now, let's solve for x:

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

Now, subtract 16 from both sides:

x^2 + 8x - 120 = x^2

The x^2 terms cancel out:

8x - 120 = 0

Now, add 120 to both sides:

8x = 120

Finally, divide by 8:

x = 120 / 8

x = 15

So, the side length of the square lawn is 15 meters. Now, you can find the area of the lawn by squaring this side length:

Area of the lawn = x^2 = 15^2 = 225 square meters

Therefore, the area of the lawn is 225 square meters.

Answer:

the ans is 225m

Step-by-step explanation:

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