A composite figure is divided into two congruent trapezoids, each with a height of 4 cm.

2 trapezoids. Both trapezoids have base lengths of 10 centimeters and 6 centimeters, and a height of 4 centimeters.
Trapezoid area: A = one-half (b 1 + b 2) h

What is the area of this composite figure?
32 centimeters squared
40 centimeters squared
64 centimeters squared
80 centimeters squared

Option C: is the area of the composite figure.

Explanation:

It is given that the composite figure is divided into two congruent trapezoids.

The measurements of both the trapezoids are

and

Area of the trapezoid =

Substituting the values, we get,

Thus, the area of one trapezoid is

The area of the composite figure can be determined by adding the area of the two trapezoids.

Thus, we have,

Area of the composite figure = Area of the trapezoid + Area of the trapezoid.

Area of the composite figure =

Thus, the area of the composite figure is

Hence, Option C is the correct answer.