Answer:
The perimeter of the rectangle is 2x+ 30
Step-by-step explanation:
Sides of the rectangle are 2/3x+10 and 1/3x+5
Now, Perimeter of the Rectangle = 2(Length + Breadth)
Here, sum of the sides = [tex](\frac{2}{3}x + 10 ) + (\frac{1}{3}x + 5 ) = (\frac{2}{3}x +\frac{1}{3}x ) + ( 10+ 5 )[/tex]
adding like terms with like terms, we get
([tex]\frac{2x + x}{3}) + 15 = \frac{3x}{3} + 15[/tex]
Hence, Sum = (x + 15)
Now, 2(Length + Breadth) = 2(x+15) = 2x + 30
hence, the perimeter of the rectangle = 2x+ 30
