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


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Polynomials29 mins
Methods to find zeroes of a Polynomial-246 mins
Remainder Theorem and Factor Theorem38 mins
Polynomials - Zero to Hero42 mins
Genius Quiz | Polynomials40 mins
Zeros and Degrees of a Polynomial41 mins
Introduction to Polynomials37 mins
Basic understanding of Polynomials37 mins
Quiz | Imp. Qs. on Algebraic Identities65 mins
QUiz on Previous year NTSE Questions45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :