marcy uses a sheet of 8 inch by 11 inch paper to make an open box. She cut x by x squares out of each corner, and folded up the sides. The diagram below shows the finished box.Simplify your expressions and justify your answer to each of the questions.

1. Draw a diagram of the sheet of paper showing the fold lines needed to make the box. Label your diagram with the dimensions of the cut out pieces and the length s of the fold lines. Use your diagram to help you find the dimensions of the open box.

2. Marcy decides to put a ribbon around thebottom edge of the box. She will need to determine theperimeter of the base. Write a polynomial to represaent the perimeter of the base of the box, simplify the expression, and explain how you determined your answer.

3. Write a polyomial to represent the area of the base of the box. Explain how you found the area of the base.

4. Write a polynomial to represent the volume of the box. Justify your answer.