A rectangular park has its length expressed as metres and its breadth as metres

MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials

Problem

A rectangular park has its length expressed as l(x)=2x2+3x−1l(x)=2x^{2}+3x-1 metres and its breadth as b(x)=x−4b(x)=x-4 metres, where xx is a positive integer. Using this information, answer the following questions. (i) Form an expression for the perimeter P(x)P(x) of the park and simplify it. (ii) Classify P(x)P(x) on the basis of (a) degree and (b) number of terms. (iii) Find the numerical value of the perimeter when x=6x=6.

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