15. A triangle with a perimeter of 66 inches has one side that is 16 inches long. The lengths of the other two sides have a ratio of 2:3. What is the length, in inches, of the longest side of the triangle ?

Answer and Explanation

Your Answer is

Correct Answer is C

Explanation

Knowing the length of one side and the perimeter, and the ratio of the other two sides is 2:3, then the equation can be formulated:

$$ 2k+3k+16=66 $$

k =10

The other two sides are 20, 30. The answer is C.