Geometry

Question Analysis:
This problem applies algebra to kite side lengths and perimeter calculation.

Key Concept Explanation:
A kite has two pairs of adjacent congruent sides
Perimeter = sum of all sides = 2×(first pair) + 2×(second pair)
Must establish which expressions represent which sides

Step-by-Step Solution:
Assume the expressions represent the two distinct pairs:
Perimeter = 2(3x + 2) + 2(2x + 5) = 60
Expand:
6x + 4 + 4x + 10 = 60
Combine terms:
10x + 14 = 60
Solve:
10x = 46 → x = 4.6

Common Mistakes...