Question

On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4), and point Z is at (negative 3, negative 2). What is the perimeter of kite WXYZ?
2√53+2 units
2√53+5 units
2√53+10 units
2√53+14 units

Answer 1

Answer:

  2√53+10 units

Step-by-step explanation:

We know the diagonal segments have an irrational length. All answer choices agree those two segments total 2√53 units.

The two orthogonal sides each have a length of 5 units, so their total length is 10. (You can count the grid squares, or subtract coordinates.)

Then the perimeter is ...

  2√53 +10 units