To find the area of a quadrilateral that is formed within a rectangle with given dimensions, we'll need to clarify the details.
Based on your description, it seems there is a rectangle with:
- Length: 25 cm
- Width: 5 cm
- An inner dimension of 4 cm (this could possibly refer to a smaller rectangle or a region within the larger rectangle).
However, since you only provided the dimensions of the rectangle but not the exact configuration of the quadrilateral, let's first calculate the area of the rectangle and then discuss possible interpretations depending on what the inner 4 cm represents.
Area of the Rectangle
The area \( A \) of the rectangle can be calculated using the formula: \[ A = \text{Length} \times \text{Width} \] Substituting the values: \[ A = 25 , \text{cm} \times 5 , \text{cm} = 125 , \text{cm}^2 \]
If the quadrilateral is assumed to be the area within the rectangle that is somehow reduced by the inner 4 cm (like a smaller rectangle/subtracting an area), we need more details to determine that area specifically.
Possible Interpretation
- If the inner dimension of 4 cm refers to another rectangle or shape being removed, please clarify its width or how it fits within the larger rectangle, and we can compute the remaining area.
- If the quadrilateral refers to the rectangle itself, then the area is indeed 125 cm².
Given the options you provided:
- 100 cm²
- 80 cm²
- 125 cm²
- 75 cm²
The area based on the calculations of the rectangle stands at 125 cm², and that is the correct answer if the quadrilateral is indeed the rectangle itself without any reductions. Let me know if there's a specific configuration you had in mind!