Answer:
The perimeter of the rectangle is expressed as; [tex]P = \frac{72 \ + \ 2W^2}{W}[/tex]
Step-by-step explanation:
Given;
area of the rectangle, A = 36 cm²
width of the rectangle, = W
Let L represent the length of the rectangle,
A = L x W
[tex]L = \frac{A}{W} = \frac{36}{W}[/tex]
The perimeter of the rectangle is calculated as;
P = 2(L + W)
Substitute the value of L into the above equation;
[tex]P = 2(L + W)\\\\P = 2 (\frac{36}{W} + W)\\\\P = 2 (\frac{36 + W^2}{W} )\\\\P = \frac{72 \ + \ 2W^2}{W}[/tex]
Thus, the perimeter of the rectangle is expressed as [tex]P = \frac{72 \ + \ 2W^2}{W}[/tex]
