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Question
Find the area of the trapezoid by decomposing it into other shapes.
Responses
A 35 cm2
35 cm 2
B 39 cm2
39 cm 2
C 40 cm2
40 cm 2
D 48 cm2
48 cm 2
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To find the area of the trapezoid, we can decompose it into a rectangle and a right triangle.
First, let's find the height of the trapezoid. The height is the perpendicular distance between the two parallel bases.
Given:
Base1 = 3 cm
Base2 = 6 cm
Height = 6 cm
Next, let's find the area of the rectangle. The rectangle has a base of 6 cm and a height of 6 cm. So, the area of the rectangle is 6 cm x 6 cm = 36 cm^2.
Now, let's find the area of the right triangle. The base of the triangle is 3 cm and the height is 6 cm. So, the area of the triangle is (1/2) x 3 cm x 6 cm = 9 cm^2.
Finally, let's add the areas of the rectangle and the triangle together to find the total area of the trapezoid.
Total area = rectangle area + triangle area
Total area = 36 cm^2 + 9 cm^2 = 45 cm^2
Therefore, the correct answer is not among the given options. The area of the trapezoid is 45 cm^2.