Answer:
Expression for perimeter of rectangle is:
[tex]\bold{Perimeter = (20.6s-12.4)\ centimeters}[/tex]
Step-by-step explanation:
Width of rectangle is given as [tex]( 3.1 s - 1.6 )[/tex] centimeters and
length of the rectangle is given as [tex](7.2s - 4.6)[/tex] centimeters.
To find:
The expression to represent the perimeter of rectangle in centimeters.
Solution:
First of all, let us have a look at the formula to calculate the perimeter of a rectangle.
Perimeter of a polygon is equal to sum of all the sides.
In rectangle, we have a total of 4 sides, 2 sides equal to the width and 2 sides are equal to the length of rectangle.
Therefore, perimeter of a rectangle is equal to twice the sum of width and length of the rectangle.
So, formula:
[tex]Perimeter = 2(l+w)[/tex]
Where [tex]l[/tex] is the length of rectangle and
[tex]w[/tex] is the width of rectangle.
Putting the values of length and width as given in the question statement to find its perimeter:
[tex]Perimeter = 2((3.1s-1.6) +(7.2s-4.6))\\\Rightarrow Perimeter = 2(10.3s-6.2)\\\Rightarrow \bold{Perimeter = (20.6s-12.4)\ centimeters}[/tex]
