Question

A new concert venue just opened in downtown Augusta and they are in the process of deciding how many tickets they can sell for each show. The venue has three levels, two general admission that only have standing room, and one level with 240 seats. The first level of standing room is a square with one side measuring 80'. The second level, also standing room, is a rectangle measuring 120' by 30' ft. The third level has 240 seats. The venue thinks each person will occupy 2.5 square feet. How many tickets should they sell?

Answer 1

4,240 tickets

Explanation:

The first level of standing room is a square with one side measuring 80'.

Area of the first level = length^2

= 80^2

= 6,400 square ft

The second level, also standing room, is a rectangle measuring 120' by 30' ft.

Area of the second level = length × width

= 120 × 30

= 3,600 square ft

Total area of the standing rooms = (6,400 + 3,600) square ft

= 10,000 square ft

Each person in the standing room will occupy 2.5 square ft

Number of Persons that will occupy the standing room = Total area of the standing rooms / 2.5 square ft

= 10,000 square ft / 2.5 square ft

= 4,000

Therefore the number of Tickets that should be sold

= Number of seats + Number for standing Room

= 240 + 4000

= 4,240 tickets