Drag the correct number of pieces to show how to find the area of the shaded figure in two different ways. Pieces can be rotated to fit.

21

Step-by-step explanation:

Remark

Draw a line  across the east and west farthest points. If you count the lower left point as 0,0, I am talking about 1,6 and 7,6 What that does is divide the figure into a triangle and a trapezoid.

Triangle

The base goes from x = 1 to x = 7 when that new line is introduced which is 6 units parallel to the x axis.

The height goes from 4,4 to 4,6 which is 2 units in the y direction.

So the area = 1/2 (2)*(6) = 6 units.

Trapezoid.

h = 3       derived from 4,3 to 4,6 which is 3 points  6 - 3 = 3

b1 = 6     That's the line you just drew in.

b2 = 4     That comes from 2,3 to 6,3   6-2 = 4

Area = 1/2 (b1 + b2) * h

Area = 1/2 (6 + 4)* 3

Area = 5 * 3 = 15

Total Area = 15 + 6 = 21

where is the triangle?