Question

Find the area A of polygon TUVWXY with the given vertices.T(-2,0), U(-1,2), V(2,2), W(2,0), X(0,0), Y(-2,-2)A= Square units

Answer 1

9 square units

Step-by-step explanation:

First, we plot the points to form the given polygon.

We observe that the diagram can be divided into three parts:

• Square, Triangle and Trapezium.

• Area of the Square = 2 x 2 = 4 square units

,

• Area of the Trapezium = 1/2(a+b)h=1/2(1+2)x2 = 3 square units

,

• Area of the Triangle = 1/2 x 2 x 2 =2 square units.

Therefore, the area of the polygon is:

=4+3+2

A =9 square units