The image of a composite figure is shown.
A four-sided shape with the top side labeled as 9.2 cm. The height is labeled 5 cm. A portion of the base from the perpendicular to a vertex is labeled 3 cm. The portion of the base from the perpendicular to the right vertex is 6.2 cm.
What is the area of the figure?
46 cm2
64.4 cm2
32.2 cm2
39 cm2
To find the area of the figure, we need to split it into two triangles.
First, we find the area of the triangle with base 3 cm and height 5 cm:
Area = (1/2) * base * height
Area = (1/2) * 3 cm * 5 cm
Area = 7.5 cm^2
Next, we find the area of the triangle with base 6.2 cm and height 5 cm:
Area = (1/2) * base * height
Area = (1/2) * 6.2 cm * 5 cm
Area = 15.5 cm^2
Adding the two areas together:
Total Area = 7.5 cm^2 + 15.5 cm^2
Total Area = 23 cm^2
So, the area of the composite figure is 23 cm^2. None of the provided options are correct, so the correct answer is not listed.