1. The problem asks to find the area of the shaded region in the shop plan, which is a large rectangle with a smaller rectangular section cut out from the top-left corner. 2. To find the shaded area, we use the formula for the area of a rectangle: $$\text{Area} = \text{length} \times \text{width}$$ 3. First, find the area of the entire large rectangle (the whole shop floor plan). 4. Then, find the area of the smaller rectangular cut-out section. 5. Subtract the area of the cut-out from the area of the large rectangle to get the shaded area: $$\text{Shaded Area} = \text{Area of large rectangle} - \text{Area of cut-out}$$ 6. Suppose the large rectangle has length $L$ and width $W$, and the cut-out rectangle has length $l$ and width $w$. 7. Calculate: $$\text{Area of large rectangle} = L \times W$$ $$\text{Area of cut-out} = l \times w$$ 8. Then: $$\text{Shaded Area} = L \times W - l \times w$$ 9. Insert the given dimensions from the diagram (not provided explicitly here, so replace $L$, $W$, $l$, and $w$ with actual numbers from the plan). 10. Perform the multiplication and subtraction to find the final shaded area. This method ensures you accurately find the shaded area by subtracting the unshaded cut-out from the total shop floor area.