What is the area of the composite figure?

Question

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2 points
Captionless Image
54 square inches
121 square inches
91 square inches
81 square inches

Answer 1

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.