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The length of a rectangle is represented by (2x2−5x+5)cm and the width is represented by (x2+4x−3)cm. What is the representation of the perimeter

User Jmdon
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1 Answer

3 votes

Answer:
6x^2-2x+4

Explanation:

Given

The length of a rectangle is given by


l=2x^2-5x+5

and the breadth is given by


w=x^2+4x-3

Perimeter is the sum of the sides of rectangle


\therefore \text{Perimeter P= }2(2x^2-5x+5+x^2+4x-3)\\\Rightarrow P=2(3x^2-5x+4x+5-3)\\\Rightarrow P=2(3x^2-x+2)\\\Rightarrow P=6x^2-2x+4

Thus, the perimeter is given by
6x^2-2x+4.

User Soubhagya
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7.7k points