What is the area of the composite figure?
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2 points
Captionless Image
54 square inches
121 square inches
91 square inches
81 square inches
To find the area of the composite figure, we need to break it down into smaller, easier to calculate shapes.
First, we have a rectangle with dimensions of 9 inches by 6 inches. The area of this rectangle is 9 * 6 = 54 square inches.
Next, we have a triangle with a base of 5 inches and a height of 6 inches. The area of this triangle is 0.5 * 5 * 6 = 15 square inches.
Finally, we have another triangle with a base of 6 inches and a height of 7 inches. The area of this triangle is 0.5 * 6 * 7 = 21 square inches.
Adding up the areas of all the shapes: 54 (rectangle) + 15 (triangle 1) + 21 (triangle 2) = 90 square inches.
So, the area of the composite figure is 90 square inches. Among the options given, the closest is 91 square inches.