Answer :
Answer:
Perimeter of the kite is 16.2 units rounding of to the nearest tenth.
Step-by-step explanation:
Since, WXYZ is a kite, two separate pairs of repeated sides are congruent
This means,
WX=XY
WZ=ZY
∴, perimeter of kite WXYZ is = 2 (WX + WZ) Bar
(WX)Bar = [tex]\sqrt{(1-3){{2} \atop}\++(1+4){{2} \atop} } = \sqrt{(-2){{2} \atop}\++(-3){{2} \atop}} = \sqrt{(4+9)} = \sqrt{13}[/tex]
(WZ)Bar = [tex]\sqrt{(1-3){{2} \atop}\++(1+3){{2} \atop} } = \sqrt{(-2){{2} \atop}\++(+4){{2} \atop}} = \sqrt{(4+16)} = \sqrt{20}[/tex]
Hence, Perimeter P = [tex]2(\sqrt{13} + \sqrt{20} ) = 16.15[/tex] ≈ 16.2 Units