Title
Theater Seating
Problem Statement
How many seats are there in a 15 row theater if the first row has 25 seats and
rows 2 through 14
increases by 2 seat increments through the 15 row.
Problem setup
The math theater has twenty five
seats in the first row.
The math theater has twenty seven
seats in the second row.
The math theater has twenty nine
seats in the third row and so on.
How many seats are in the 15 row
theater
Plans to Solve/Investigate the
Problem
Row Number 
Number of seats 
Total Number of seats 
1 
25 

585 

2 
27 



3 
29 



4 
31 



5 
33 



6 
35 



7 
37 



8 
39 



9 
41 



10 
43 



11 
45 



12 
47 



13 
49 



14 
51 



15 
53 













Total # 
585 



Investigation/Exploration of the
Problem
Extensions of the Problem
b_{1}=row 1 with 25 seats
b_{2}=row 15 with 53 seats
h=height =15 rows
Area of a Trapezoid=1/2*h*(b_{1}+b_{2})
=h(b_{1}+b_{2})
___________
2
