Answer :

Let the side of the ground be a.

The width of the path is 1 m.

⇒ Length of one side of the path is a + 2 m.

⇒ Area of the path = (a + 2)^{2} – (a)^{2}

Now, Area of the path is a is defined p(a)

⇒ p(a) = (a + 2)^{2} – (a)^{2}

⇒ p(a) = 4 + 4 × a

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