Answer:
C: 13cm
Step-by-step explanation:
Given;
length of the rectangle, L = (x + 4) cm
width of the rectangle, W = [tex]\frac{2}{4}x[/tex] cm
perimeter of the rectangle, P = 35 cm
The perimeter of a rectangle is given as;
P = 2(L + W)
Substitute the givens;
[tex]35 = 2[(x+ 4) + \frac{2x}{4} ]\\\\35 = 2[\frac{6x}{4} +4]\\\\35 = 3x+8\\\\3x = 27\\\\x = \frac{27}{3}\\\\x = 9[/tex]
Then, L = (x + 4) cm
L = (9 + 4) cm
L = 13 cm
Therefore, the length of the rectangle is 13 cm
