Answer: D. 150
Step-by-step explanation:
Given equation: [tex]3(3x-10)=5(x+10)[/tex] , it shows the relationship between the perimeter of an equilateral triangle and the perimeter of an equilateral triangle.
Consider [tex]3(3x-10)=5(x+10)[/tex]
[tex]\Rightarrow\ 9x-30=5x+50\\\\\Rightarrow\ 9x-5x= 50+30\\\\\Rightarrow\ 4x= 80\\\\\Rightarrow\ x=\dfrac{80}{4}\\\\\Rightarrow\ x= 20[/tex]
Now, perimeter of pentagon = 5(x+10) = 5 (20+10)
= 5(30) = 150
Hence, option D is correct.
