Question 8

Mei is correct, because her table requires 100 in squared of material.

Mei's square table has an area of 100 square inches, calculated as side length squared (10 in x 10 in = 100 in²). This area indicates the amount of material required to cover her table.

A) Mei, because her table requires 40 in squared of material

This option is incorrect because the area of Mei's square table is not 40 square inches. The correct calculation for the area of a square is the side length squared, which in this case is 10 in x 10 in, equaling 100 square inches.

B) Mei, because her table requires 100 in squared of material

This option is correct. Mei's square table, with each side measuring 10 inches, has an area of 100 square inches (10 in x 10 in = 100 in²), making it clear that her table requires this amount of material to cover.

C) Omar, because his table requires 314.16 in squared of material

This option is incorrect. While Omar's circular table does have a larger area, the area calculated is not precise. The area of a circle is calculated using the formula A = πr². With a diameter of 10 inches, the radius is 5 inches, leading to an area of approximately 78.54 square inches, not 314.16.

D) Omar, because his table requires 31.79 in squared of material

This option is also incorrect. The area of Omar's circular table is not 31.79 square inches. Using the correct formula A = πr², the area comes out to approximately 78.54 square inches, which is still less than Mei's table area.

Conclusion

Mei is correct in her assertion that her square table requires more material, as it has an area of 100 square inches. In contrast, Omar's circular table, with an area of approximately 78.54 square inches, requires less material. Thus, Mei's calculations definitively show her table needing more covering material compared to Omar's.