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