Question

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

Answer 1

Answer: $6x^2-2x+4$

Step-by-step 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 $6x^2-2x+4$.