Question

A square lawn is surrounded by a walk 4m wide. The area of lawn is equal to the area of the walk. Find the length of the side of the lawn to the nearest tenth of a meter.

Answer 1

Answer:

24yu

Step-by-step explanation:

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Answer 2

Answer:

The answer is 36 sq. m.

Step-by-step explanation:

Let the side of the square lawn be x meters.

Now, the area of the square lawn will be x².

Let, the side of the square containing the lawn and the path will be x + 4 + 4 or x + 8

Then, The area of the square containing the lawn and the path will be (x + 8)².

Now, as per the question:

The area of the square containing the lawn and the path - The area of the lawn = The area of the path

or (x + 8)² - x² = 160

or x² + 16x + 64 - x² = 160

or 16x + 64 = 160

or 16x = 160 - 64

or 16x = 96

or x = 6

Therefore, the area of the lawn will be x² or 6² or 36.

The answer is 36 sq. m.