What is the area
of the Boeing 747 trapezoidal planform? (Note: These are not
the actual dimensions. The trapezoidal planform cannot be divided into
two right triangles. Hint: Divide the figure into two scalene
triangles and compute their areas.)
Step
1: Divide
the shape into three regions. From left to right, they are a triangle,
rectangle, and triangle.
The
height of the first triangle is a straight line drawn down from the
upper left-hand corner of the shape.
The
height of the second triangle is a straight line drawn up from the
bottom right-hand corner of the shape.
Step
2: Region
1: base = 50 ft. , height = 77 ft. (Calculate the area of this triangle.)
Region
2: base = 6 ft. , height = 77 ft. (Calculate the area of this rectangle.)
Region
3: base = 19 ft , height = 77 ft (Calculate the area of this triangle.)
Step
3: Add
the areas of the three regions. Total area = 3118.5 ft.2