Solution:
Note that:
- Area of trapezoid = Area of rectangle + 2(Area of triangle)
Finding the area of the square.
- Area of rectangle = LB
- => Area of rectangle = (8)(6)
- => Area of rectangle = 48 in²
Finding the area of the 2 triangles.
- Area of triangle = 1/2 x Base x Height
- => Area of triangle = 1/2 x 4 x 6
Since there are two triangles with the same base and height, we will multiply the area by 2 to cover the other triangle.
- => Area of 2 triangles = 2(1/2 x 4 x 6)
- => Area of 2 triangles = 4 x 6
- => Area of 2 triangles = 24
Finding the area of the trapezoid.
- Area of trapezoid = Area of rectangle + 2(Area of triangle)
- => Area of trapezoid = 48 + 24
- => Area of trapezoid = 72 in²