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Write-up
 


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

b1=row 1 with 25 seats

b2=row 15 with 53 seats

h=height =15 rows

 

Area of a Trapezoid=1/2*h*(b1+b2)

                                 =h(b1+b2)

                                  ___________

                                          2