Respuesta :
Perimeter of rectangle is [tex]2x^{2} +8x+16[/tex].
What is perimeter of rectangle?
The perimeter of a two-dimensional shape is the total length of the outline. To find the perimeter of a rectangle, we add the lengths of all four sides.
Given
Length of a rectangle in terms of x = [tex]x^{2} +2x+5[/tex]
Width of a rectangle in terms of x = [tex]2x+3[/tex]
Perimeter of rectangle = 2(length + width)
P = [tex]2(x^{2} +2x+5 + 2x+3)[/tex]
P = [tex]2(x^{2} +4x+8)[/tex]
P = [tex]2(x^{2} )+2(4x)+2(8)[/tex]
P = [tex]2x^{2} +8x+16[/tex]
Hence, Perimeter of rectangle is [tex]2x^{2} +8x+16[/tex].
Find out more information about perimeter of rectangle here
https://brainly.com/question/15287805
#SPJ3
