For example: What is the area of the given trapezoid?
Solution:
The given trapezoid is breakdown into 3 shapes, 1 rectangle, and 2 triangles.
For rectangle:
Length = 7 ft
Width = 6 ft
Area = Length * width = 7 * 6 = 42 ft^2
For the first triangle:
Base = 3 ft
Height = 7 ft
Area of first triangle = ½ * base * height = ½ * 3 * 7 = 10.5 ft^2
For the second triangle:
Base = 3 ft
Height = 7 ft
Area of second triangle = ½ * base * height = ½ * 3 * 7 = 10.5 ft^2
Area of the trapezoid = Area of rectangle + Area of first triangle + Area of second triangle
= 42 + 10.5 + 10.5
= 63
Therefore, the area of the trapezoid is 63 square feet.
