A figure is formed by shaded squares on a grid. Which figure has a perimeter of 12units and an area of 8 square units?

Rationale

Figure C has a perimeter of 12 units and an area of 8 square units.

This figure meets the specified criteria, as it has been calculated to have both the correct perimeter and area based on its dimensions. The configuration of shaded squares in Figure C effectively satisfies the mathematical requirements for perimeter and area.

A (m-18a.png) YOUR ANSWER

Figure A does not have the correct measurements; upon calculation, it has a perimeter greater than 12 units and an area less than 8 square units. The arrangement of squares in this figure results in a larger outer boundary, thus increasing the perimeter while not sufficiently filling the area.

B (m-18b.png) YOUR ANSWER

Figure B fails to meet the criteria as well, with a perimeter that exceeds 12 units and an area that is also below 8 square units. The structure of shaded squares in this figure results in an inefficient use of space, leading to an incorrect area and perimeter calculation.

D (None of the above) YOUR ANSWER

This option is incorrect because Figure C does fulfill the requirements of having a perimeter of 12 units and an area of 8 square units. Therefore, the assertion that none of the figures meet the criteria is false.

Conclusion

To summarize, Figure C is the only selection that correctly possesses a perimeter of 12 units and an area of 8 square units. The other figures, A and B, do not meet the specified conditions, while the option claiming that no figures meet the criteria is incorrect. Understanding the relationship between perimeter and area in geometric figures is essential for solving similar problems effectively.

A figure is formed by shaded squares on a grid. Which figure has a perimeter of 12units and an area of 8 square units?

Figure C has a perimeter of 12 units and an area of 8 square units.

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