Given that area = length x width, find the area of the shaded portion only on the following figure:

Rationale

The area of the shaded portion is 54 m^2.

The area of a shape can be calculated using the formula for area which is length times width. In this case, the shaded area is a portion of the full figure, so the dimensions of the shaded portion should be used to find the correct area.

A (54 m^2) CORRECT

This is the correct answer. The shaded portion's dimensions multiply to give an area of 54 m^2. This is the only choice that accurately represents the area of the shaded portion based on the given length and width.

B (90 m^2) YOUR ANSWER

This choice represents the area that would result from multiplying dimensions greater than those of the shaded portion. It might be the result of a calculation error or a misunderstanding of the area formula.

C (36 m^2) YOUR ANSWER

This choice represents the area that would result from dimensions smaller than the shaded portion. It could be a miscalculation or the result of confusing the dimensions of the shaded portion with another part of the figure.

D (45 m^2) YOUR ANSWER

This choice also represents an area smaller than the actual shaded portion. This could be a miscalculation or the result of misinterpreting the dimensions of the shaded portion.

Conclusion

The area of a shape is calculated by multiplying its length by its width. The only choice that reflects the correct calculation of the shaded portion's dimensions is 54 m^2. All other options result from miscalculations or misunderstandings of the area formula. Therefore, the correct answer to the question "What is the area of the shaded portion?" is 54 m^2.

Given that area = length x width, find the area of the shaded portion only on the following figure:

The area of the shaded portion is 54 m^2.

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