Triangle sides; s, 1/2s, and 2/3s. When the length of s is doubled, the new perimeter is twice the old perimeter less 14. What are the lengths of the triangle?

Question

Audrey draws a triangle that has these sides; s, 1/2s, and 2/3s. When the length of s is doubled, the new perimeter is twice the old perimeter less 14. What are the lengths of the triangle?

 

Please help me solve this algebraically. 

Answer 1

new triangle perimeter is = 2s + 1/2s + 2/3s 

however this new triangle is not physically possible because

The length of each side is less than the sum of the lengths of the other two sides and greater than the difference between these lengths.

2s is not less than 1/2s+ 2/3s