Question 8

The figure with a perimeter of 12 units and an area of 8 square units is represented by option C.

The figure in option C satisfies both conditions of having a perimeter of 12 units and an area of 8 square units, making it the correct answer.

A) m-18a.png

This option does not meet the required perimeter and area criteria. Upon calculation, the perimeter of the figure in option A is greater than 12 units, and its area is less than 8 square units, indicating that it is not the correct figure.

B) m-18b.png

The figure in option B also fails to satisfy the conditions specified in the question. Its perimeter is less than 12 units, and the area does not reach 8 square units, which disqualifies it as a suitable choice.

C) m-18c.png

This option correctly depicts a figure with a perimeter of 12 units and an area of 8 square units. The dimensions of the squares align perfectly with the requirements, confirming that this is the correct representation.

D) None of the above

This choice is incorrect because option C does indeed meet the criteria of having a perimeter of 12 units and an area of 8 square units. Therefore, stating that none of the options fit is misleading.

Conclusion

Option C is definitively the correct answer as it meets both the perimeter and area requirements outlined in the question. All other options either exceed or fall short in one or both of the necessary measurements, rendering them incorrect. Thus, option C stands out as the only viable choice.