Write each of the relations below in algebra and see if it gives a
polynomial. Also give reasons for your conclusion.
1) Al 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.
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Answer:
Step-by-step explanation:
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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