Juanita is measuring a table for her dining room. table area is 46 7/8 square feet. table length is 7 1/2 feet. she does not want to purchase a table more than 6 feet wide. should she purchase the table? why or why not?

No. If you still want the  46 7/8 square foot table and less than 6ft wide than the table length must be greater than 7 1/2 feet long. For the math to work out. Because, the 7 1/2 foot long table would need a 6 1/4 wide table to fit the 46 7/8 square foot.