Selecting anywhere in the shaded region other than the control point will sometimes reveal the area of the shaded region. As with other tool tips, it will not take the graph axes’ units into account. Areas are graded based on the shape of the entire filled-in area, not on the specific location of the point defining the area. (There will often be multiple correct placements for the point defining the area.)

Question

By selecting the filled-in regions on the graph, you can determine that the area of the canvas covered by the barn door is equal to blank square inches.

Answer 1

To calculate the area of the canvas covered by the barn door, we need to assess the shape and dimensions of the filled-in regions representing the barn door. Here’s a general outline to find the area based on common shapes, assuming you have access to the graph or specific dimensions:

1. Identify the Shape: Determine whether the shaded area is a rectangle, triangle, circle, or a combination of geometric shapes.

2. Measure Dimensions:

   • For rectangles: Measure the width (w) and height (h). The area is calculated as \(Area = w \times h\).
   • For triangles: Measure the base (b) and height (h). The area is calculated as \(Area = \frac{1}{2} \times b \times h\).
   • For circles: Measure the radius (r). The area is calculated as \(Area = \pi \times r^2\).

3. Add/Subtract Areas: If the shaded region is a combination of shapes, calculate the area of each and sum them up. If there’s an unshaded part (like in a composite shape), subtract that area from the total.

4. Unit Conversion: Make sure all dimensions are in the same units (e.g., all in inches) before performing calculations.

Once you’ve completed those steps based on the specific graph or figure in question, you will arrive at the total area covered by the barn door in square inches.

If you provide specific dimensions or details about the shape from the graph, I can help you calculate a more accurate figure for the area amount.