To find the area of the composite figure, we need to find the area of each individual shape and then add them together.
There are two triangles in the figure:
1. The green triangle on the left has a base of 6 feet and a height of 6 feet.
Area = 1/2 * base * height = 1/2 * 6 * 6 = 18 square feet
2. The blue triangle on the right has a base of 8 feet and a height of 9 feet.
Area = 1/2 * base * height = 1/2 * 8 * 9 = 36 square feet
There is also a rectangle in the figure:
The rectangle has a length of 6 feet and a width of 5 feet.
Area = length * width = 6 * 5 = 30 square feet
Now, add the areas together:
18 (green triangle) + 36 (blue triangle) + 30 (rectangle) = 84 square feet
Therefore, the area of the composite figure is 84 square feet.
What is the area of the composite figure shown?
(Find the area of each triangle, the area of the rectangle, and then add together.)
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Captionless Image
18 square feet
72 square feet
30 square feet
95 square feet
1 answer