The simplest form to represent the perimeter is (P = 8x + 2) and the perimeter if the value of x is 12 meters is 98 meters and this can be determined by using the formula of the perimeter of a rectangle.
Given :
A rectangle has side lengths(2x-5) meters and (2x+6) meters.
The formula of the perimeter of a rectangle is given by:
P = 2(l + w)
where l is the length of the side and w is the width of the rectangle.
Now, substitute the value of l and w in the above formula.
P = 2((2x - 5) + (2x + 6))
Simplify the above equation in order to determine the expression of 'P'.
P = 2(4x + 1)
P = 8x + 2
Now, if the value of x is 12 meters then the perimeter of a rectangle is given by:
P = 8(12) + 2
P = 96 + 2
P = 98 meters
For more information, refer to the link given below:
https://brainly.com/question/3382480