3 in.

4 in.

3 in.

The composite shape in the image has an area of 40 square inches. What is the area of the rectangle within the composite shape

(1 point)

34 square inches

20 square inches

7 square inches

16 square inches

To find the area of the rectangle within the composite shape, we need to find the area of the entire composite shape and then subtract the areas of the other two shapes that are not part of the rectangle.

Area of entire composite shape = 40 square inches

Area of the two smaller shapes that are not part of the rectangle:
3 in. x 4 in. = 12 square inches
3 in. x 3 in. = 9 square inches

12 square inches + 9 square inches = 21 square inches

Area of the rectangle = Area of entire composite shape - Area of other two shapes:
40 square inches - 21 square inches = 19 square inches

Therefore, the area of the rectangle within the composite shape is 19 square inches.