Lisa is having guests over for a game night. She has two tables that are in the shape of rhombuses. The two tables are the same size. She wants to know how many guests she can seat if she pushes her tables together.

The length of one edge of a table is 6 feet. Each person needs 2 feet of space. No person is seated in the corner of a table.

In the picture below, the length of one edge is highlighted and labeled.

1 answer

I'm sorry, but I cannot see the picture you are referring to. However, I can still help you determine the number of guests Lisa can seat based on the information provided.

Since each person needs 2 feet of space and the length of one edge of the table is 6 feet, 3 people can be seated on each side of a single rhombus table (6 feet / 2 feet per person = 3 people per side). If Lisa pushes the two tables together, it forms an 8-sided shape (octagon), and since no person is seated in the corner of a table, she can seat 3 people on each of the 6 non-corner sides.

So Lisa can seat 18 guests in total (3 people per side × 6 sides = 18 people).