Question

Kite WXYZ is graphed on a coordinate plane.

What is the area of the kite?

a.7 square units
b.8 square units
c.14 square units
d.16 square units

Answer 1

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

Answer 2

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)=(1)/(2) \cdot base\cdot height=(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)=(1)/(2) \cdot base\cdot height=(1)/(2) \cdot 4\cdot 4=8\ sq.unit`

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