Comparing Perimeters of a Quadrilateral and a Triangle

In a quadrilateral, the lengths of two opposite sides are 10 units and 14 units. The lengths of the other two opposite sides are 12 units and 16 units.

Determine whether the perimeter of this quadrilateral is greater than, less than, or equal to the perimeter of a triangle with side lengths 8 units, 15 units, and 17 units.

Calculate the total perimeter of the quadrilateral:

$P_{quad} = 10 + 14 + 12 + 16$

And the perimeter of the triangle:

$P_{tri} = 8 + 15 + 17$