The area of each unshaded rectangle is given (the areas given are ( 30 in.², 45 in.², 72 in.²)). What is the area of the shaded rectangle?

What rectangle? Cannot copy and paste here.

To find the area of the shaded rectangle, we need to subtract the total area of the unshaded rectangles from the total area of the rectangle that includes both the shaded and unshaded areas.

First, let's find the total area of the three unshaded rectangles by adding their individual areas together: 30 in.² + 45 in.² + 72 in.² = 147 in.².

Next, we'll find the total area of the rectangle that includes both the shaded and unshaded areas. Since the unshaded rectangles are arranged adjacent to each other, we can assume they collectively form a larger rectangle.

Now, let's subtract the total area of the unshaded rectangles (147 in.²) from the total area of the larger rectangle to find the area of the shaded rectangle:

Total area of the larger rectangle - Total area of unshaded rectangles = Area of the shaded rectangle.

Let's say the total area of the larger rectangle is A in.².

A - 147 in.² = Area of the shaded rectangle.

Without knowing the total area of the larger rectangle, we can't calculate the area of the shaded rectangle directly since it could vary. To determine the specific area, we would need additional information, such as the dimensions or the measurements of the larger rectangle.