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)
LESSON FEEDBACK
O 7 square inches
O 28 square inches
• 16 square inches
O 34 square inches
To find the area of the rectangle within the composite shape, we need to subtract the area of the two triangles from the total area of the composite shape.
Total area of composite shape = 40 square inches
Area of triangle 1 = (1/2) * base * height = (1/2) * 6 * 8 = 24 square inches
Area of triangle 2 = (1/2) * base * height = (1/2) * 6 * 4 = 12 square inches
Area of rectangle = Total area of composite shape - Area of triangle 1 - Area of triangle 2
Area of rectangle = 40 - 24 - 12 = 4 square inches
So, the area of the rectangle within the composite shape is 16 square inches.