Answer:
The perimeter of first rectangle is [tex]3x^2+2x-7[/tex] much larger than the smaller rectangle.
Step-by-step explanation:
The perimeter of a rectangle is represented by
[tex]4x^2+5x-2[/tex]
The perimeter of a smaller rectangle is represented by
[tex]x^2+3x+5[/tex]
The difference of perimeter of rectangle and smaller rectangle is
[tex]4x^2+5x-2-(x^2+3x+5)[/tex]
[tex]4x^2+5x-2-x^2-3x-5[/tex]
Combine like terms.
[tex](4x^2-x^2)+(5x-3x)+(-2-5)[/tex]
[tex]3x^2+2x-7[/tex]
The perimeter of first rectangle is [tex]3x^2+2x-7[/tex] much larger than the smaller rectangle.