What is the area of the trapezoid? Enter your answer in the bOx

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