In the given figure the area of the complete figure can be calculated as
sum of the area of the parallelogram and the area of the trapezium which is 787.5 sq.cm.
What is the area of a parallelogram?
The area of a parallelogram is the product of the base and the height of the figure.
The area of a parallelogram = Base x Height
In the given figure the area of the complete figure can be calculated as
Area = area of the parallelogram + area of the trapezium
The upper figure is the shape of a parallelogram that has a height of 14cm and a base of 23cm.
The area of a parallelogram = Base x Height
[tex]14 \times 23\\\\322\:cm^{2}[/tex]
The lower figure is the shape of a trapezium that has a height of 19cm and a base of 34cm and 15 cm.
area of the trapezium
= [tex]\frac{1}{2} (a+b)h\\\\\frac{1}{2} (15+34)19\\\\465.5\:cm^2[/tex]
Therefore, Area = area of the parallelogram + area of the trapezium
Area = 322 + 465.5
=787.5 sq.cm
Learn more about the area;
https://brainly.com/question/1658516
#SPJ2
