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Figure C represents the product 2/5 x 3/4.

The product of 2/5 and 3/4 can be visualized as the area of a rectangle where one side is 2/5 of a given length and the other side is 3/4 of a different length. Figure C accurately illustrates this multiplication by showing the overlapping area that corresponds to the fraction.

A) Figure A

Figure A does not represent the product of 2/5 and 3/4, as it fails to show the correct proportions of the two fractions. The area depicted in Figure A does not align with the expected outcome of multiplying these two fractions together.

B) Figure B

Figure B is also incorrect because it does not accurately depict the multiplication of 2/5 and 3/4. The dimensions shown do not correspond to the intended fractions, leading to a misrepresentation of the product.

C) Figure C

Figure C is the correct choice, as it effectively illustrates the area that results from multiplying 2/5 by 3/4. The visual representation matches the expected area, confirming that it reflects the product of these two fractions accurately.

D) Figure D

Figure D is incorrect because it does not represent the product of 2/5 and 3/4. The areas shown do not correspond to the calculation of the multiplication, indicating a misunderstanding of the fractions involved.

Conclusion

Figure C is definitively the correct answer as it accurately represents the product of 2/5 and 3/4 through appropriate visual proportions. All other figures fail to convey the correct resulting area, thereby misrepresenting the multiplication of the given fractions.