198k views
5 votes
Find the area of the trapezoid by composition of rectangle and triangles. A) 30 units2 B) 38 units2 C) 42 units2 D) 54 units2

User Sirmabus
by
9.1k points

1 Answer

4 votes

Answer:

Option C is correct.

The total area of the trapezoid = 42 units²

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!!!

Find the area of the trapezoid by composition of rectangle and triangles. A) 30 units-example-1
User Ahmed Tag Amer
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories