A party will have hexagonal tables placed together with space for one person on each open side:
n
12
a. Complete this table showing the number of people P (n) who can sit at n tables.



Answer :

50 person.

Hexagonal - In geometry, a hexagon is a closed two-dimensional six-sided polygon. It is made up of six line segments and six vertices that form six internal angles. The sum of all the internal angles of a hexagon is 720°.

Each table seats 4 people, which can be represented with n,plus two more people at either end of the set of tables. The table is hexagonal and so can seat 6 people. So, the given equation defines this situation.

The number of people who can sit at the tables increases by 4 each time a table is added

P=4n+2

the given equation to find the number of tables n.

P=4n+2

Where P = person

and n= no of tables .

given that

n=12

put value of n in equation to find the no. of person .

P = 4(12) +2

P = 48 +2

P = 50.

Hence, for 50 people we need 12 tables .

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