By definition of perimeter, direct observation and Pythagorean theorem, the perimeter of kite OBDE is 38 units. (Correct choice: C)
How to determine the perimeter of a kite OBDE
In geometry, the perimeter is the sum of the lengths of the sides of a figure. Herein we must determine the perimeter of a quadrilateral, the kite OBDE, that is, the sum of the lengths of its four sides:, which can be found both by direct observation or by the use of the Pythagorean theorem.
Please notice that the quadrilateral has an axis of symmetry passing through the points O and D, which implies that OB = OE and BD = DE. The length of sides BD and DE is 6 units and the length of the sides OB and DE are:
OB = DE = 0.5 · √(24² + 10²)
OB = DE = 13
Lastly, the perimeter of kite OBDE is p = 2 · 6 + 2 · 13 = 38 units.
To learn more on perimeters: https://brainly.com/question/6465134
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