Answer:
The area of the composite figure is 392.12.
Step-by-step explanation:
The area of the composite figure = area of trapezoid + area of rectangle
Area of trapezium = ( a +b)h
Where: a is the length of the first base, b the length of the second base and h is the height of the trapzium.
Applying Pythagoras theorem, the height, h, is;
h =
=
h = 2
Area of trapezium = ( a +b)h
= (13 + 12) × 2
= 156
= 382.12
Area of trapezium is 382.12
Area of rectangle = length × width
= 5 × 2
= 10
Area of rectangle = 10
Therefore,
area of the composite figure = 382.12 + 10
= 392.12