Answer:
A = 20 square units ; Type in 20
Step-by-step explanation:
The simplest way to derive the area of this figure, is to first consider what the shape is itself;
[tex]Criteria of Shape - 2 Bases, 1 pair of Parallel Sides, Composed of two triangles, one square -From this we See that - Shape ; Trapezoid ( neither Right nor Isoceles )[/tex]
Knowing that the shape is a Trapezoid, consider the formula ( Average of Bases ) * Height as to solve for it's area;
[tex]Length Of Base 1 - 3 units,\\Length of Base 2 - 7 units,\\Length of Altitude - 4 units,\\[/tex]
Now let us substitute these values, solving for the Area;
[tex]Area Of Trapezoid - ( ( Base 1 + Base 2 ) / 2 ) * Height,\\ ( ( Base 1 + Base 2 ) / 2 ) * Height = ( ( 3 + 7 ) / 2 ) * 4,\\( 10 ) / 2 * 4 = 5 * 4 = 20 square units,\\\\Conclusion ; Area of Trapezoid = 20 square units[/tex]
Solution; A = 20 square units
