Final answer:
The base of the isosceles triangle with side lengths in a ratio of 2:2:3 and a perimeter of 49 is 14 units.
Step-by-step explanation:
An isosceles triangle's side lengths have a ratio of 2:2:3. If the perimeter is 49, we can find the measurement of the base using the given ratio. Let's denote the side lengths as 2x, 2x, and 3x. Since the perimeter is the sum of all three sides, we have:
2x + 2x + 3x = 49
7x = 49
x = 7
Therefore, the base of the triangle is 2x = 2 * 7 = 14.