Jeremy Gift Wrapping Paper

There was a guy who had a square piece of gift. This piece of the gift was wrapped with a paper having a side length of x inches that he used to cover the gift. Since the gift had a square shape, this means that all the sides had a length of x inches each. In other words, the paper is originally x inches by x inches (Zheng et al., 2020). He then decided to cut 6 inches off the right side of the paper and discard the rectangular scrap.

Six inches is cut off the right side – which does two things.

After cutting off the right side, he first creates a six by X=6*X square inch scrap.

After he cut the second time, he left the paper with dimensions (X-6) across and X down and up.

Then he cuts 3inches off the top of the paper and then discards the rectangular scrap.

The dimensions are now (X-6) in length. Therefore, this scrap is 3*(X-6) square inches.

To get the correct expression that represents the overall area in square inches of the discarded scraps, we have to get the total of the two scraps.

Therefore, the correct expression of the overall area of the discarded scraps in square inches is; 3*(X-6) +6*X=3*X+6*X-18 = (9*X-18).

References

Zheng, L., Yang, L., & Liang, Y. (2020). A conjugate gradient projection method for solving equations with convex constraints. Journal of Computational and Applied Mathematics, 375, 112781.