Geometry

Question Analysis:
This question uses the kite’s perimeter and side relationships to solve for a variable.
The main focus is perimeter calculation and basic algebra.

Key Concept Explanation:
In a kite:
Two pairs of adjacent sides are congruent.
Perimeter = sum of all four sides.

Step-by-Step Solution:
The perimeter is:
 Perimeter = 2(3x − 2) + 2(10)
Expand:
 =6x − 4 + 20
 =6x + 16
Set equal to perimeter:
 6x + 16 = 40
Subtract 16:
 6x ...