10. Given that area = length x width, find the area of the shaded portion only on the following figure:
Answer: A
The area of the shaded portion is 54 m².
To find the area of the shaded portion, we apply the formula for area, which is length multiplied by width. In this case, the dimensions provided lead to a calculation resulting in 54 m².
A) 54 m²
This option is correct as it represents the calculated area of the shaded portion based on the given dimensions. By multiplying the specified length and width, the value obtained is 54 m², confirming this choice as accurate.
B) 90 m²
This option is incorrect because the area calculated from the dimensions does not yield 90 m². Such a value would suggest that either the length or width was miscalculated or misinterpreted, as it exceeds the valid area derived from the provided measurements.
C) 36 m²
This option is also incorrect. Although it is a plausible area, it does not align with the correct multiplication of the length and width as given in the problem. The dimensions do not support an area of 36 m² based on the formula used.
D) 45 m²
This option is incorrect as well. The area of 45 m² could suggest an alternative set of dimensions, but it does not correspond to the actual multiplication of the length and width provided for calculating the shaded area.
Conclusion
The correct answer, 54 m², arises directly from the application of the area formula with the specific dimensions provided. All other options fail to match the calculation derived from the length and width, confirming that they do not represent the shaded area accurately.