Answer:
69.4 inches
Step-by-step explanation:
A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.
To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.
AD ⊥ BC.
Since adjacent sides are equal to each other, hence:
BC = BD, AC = AD
The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)
[tex]BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit[/tex]
BC = BD, AC = AD
Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches
