The composite shape in the image has an area of 40 square inches. What is the area of the rectangle within the composite shape ifthe shape has a base of 3 inches, height of 4 inches, and width of 3 inches

1 answer

To find the area of the rectangle within the composite shape, we first need to find the area of the entire composite shape. The composite shape consists of a rectangle with a base of 3 inches and a height of 4 inches, and a smaller rectangle on top of the larger rectangle with a width of 3 inches.

The area of the larger rectangle is base x height = 3 inches x 4 inches = 12 square inches.

To find the area of the smaller rectangle, we need to subtract the area of the trapezoid from the area of the entire composite shape.

The area of the entire composite shape is 40 square inches, so the area of the trapezoid is 40 square inches - 12 square inches = 28 square inches.

The trapezoid has a base of 3 inches, a height of 4 inches, and the width of the smaller rectangle is 3 inches.

Therefore, the area of the smaller rectangle is base x height = 3 inches x 4 inches = 12 square inches.

So, the area of the rectangle within the composite shape is 12 square inches.