Find the area of the trapezoid by composition of rectangle and triangles. A) 30 units2 B) 38 units2 C) 42 units2 D) 54 units2

Option C is correct.

The total area of the trapezoid = 42 units²

Step-by-step explanation:

After a little research online, the image missing from the question was obtained and is attached to the solution of this question.

In the trapezoid given, there are two triangles and a rectangle.

Area of rectangle = length × breadth

Length = 6 units

Breadth = 5 units

Area of the rectangle = 6 × 5 = 30 units²

Area of a triangle = ½ × Base × Height

Base = 2 units

Height = 6 units

Area of each of the exactly similar triangles = (1/2) × 2 × 6 = 6 units²

Area of the two similar triangles = 2 × 6 = 12 units²

Total Area of the trapezoid = (Area of rectangle) + (Area of the two triangles)

= 30 + 12 = 42 units²

Hope this Helps!!!

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step-by-step explanation: