kite wxyz is graphed on a coordinate plane. what is the approximate perimeter of the kite? round to the…

Explanation:

Step1: Identify coordinates

Let (W(-1,1)), (X(2,4)), (Y(4,1)), (Z(2, - 3)).

Step2: Use distance formula (d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}) for (WX)

(d_{WX}=\sqrt{(2 + 1)^2+(4 - 1)^2}=\sqrt{9 + 9}=\sqrt{18}\approx4.24)

Step3: Use distance formula for (XY)

(d_{XY}=\sqrt{(4 - 2)^2+(1 - 4)^2}=\sqrt{4+9}=\sqrt{13}\approx3.61)

Step4: Recall kite - property

In a kite, two pairs of adjacent sides are equal. So perimeter (P = 2(d_{WX}+d_{XY}))

Step5: Calculate perimeter

(P=2(4.24 + 3.61)=2\times7.85 = 15.7\approx16.2)

Answer:

16.2 units