Final answer:
To cover a grid completely, determine the dimensions using any given scale factor. Multiply these by the appropriate conversion rate to get the actual measurements in meters, calculate the area, and find the side length of a square with the same area.
Step-by-step explanation:
To create a rectangle that would completely cover the grid, we first need to understand the dimensions of the grid. If the dimensions are given or can be scaled based on information from a drawing with a scale factor, this will determine the size of the rectangle. For example, if there's a square on a drawing that represents a floor, and the scale factor given is 1/200, the actual dimensions of the floor can be calculated by multiplying the dimensions on the drawing by the scale factor.
If the drawing shows a square with a side length of 4 inches, and it's mentioned that the larger square has dimensions twice the first square, this implies a scale factor of 2. So, the side length of the larger square would be 4 inches times 2, resulting in 8 inches.
Now, to express the area in meters and to find the side length for a square of the same area, you would convert the dimensions from inches to meters (assuming 1 inch equals 0.0254 meters), square the side length to get the area in square meters, and finally find the side length of a new square that would have this same area.