Question

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

Answer 1

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