Question

Kite WXYZ is graphed on a coordinate plane.

Answer 1

Answer-

Area of the kite is 14.0 sq.units

Solution-

$\text{Area}_{WXYZ}=\text{Area}_{WXY}+\text{Area}_{WZY}$

From the graph, in the triangle WXY

Base = WY=4 units,

Height = 3 units

$\text{Area}_{WXY}=\dfrac{1}{2} \cdot base\cdot height=\dfrac{1}{2} \cdot 4\cdot 3=6\ sq.unit$

From the graph, in the triangle WZY

Base = WY=4 units,

Height = 4 units

$\text{Area}_{WZY}=\dfrac{1}{2} \cdot base\cdot height=\dfrac{1}{2} \cdot 4\cdot 4=8\ sq.unit$

$\therefore \text{Area}_{WXYZ}=6+8=14\ sq.units$

Answer 2

14.......................................................................................