Q. 1 A4.2( 10 Votes )

Write each of the relations below in algebra and see if it gives a polynomial. Give reasons for your conclusion also.

An 1 metre wide path goes around a square ground. The relation between the length of a side of the ground and the area of the path.

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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