Question

A new concert venue just opened in downtown Houston 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 150 seats.

The venue thinks each person will occupy 2.25 ft.

.

• The first level of standing room is a square with one side measuring 75ft.

The second level, also standing room, is a rectangle measuring 100' by 50' ft.

. The third level has 150 seats.

How many tickets can they sell for the first level?

Answer 1

2500

Explanation:

Dimensions of first level

Length = Breadth = 75 ft (since it is a square)

It is assumed that a person will occupy
`2.25\ \text{ft}^2`

Area of first level

`75* 75=5625\ \text{ft}^2`

When the area of the level is divided by the area of one person then we will get the number of people that can occupy the room or the number of tickets that can be sold.

`(5625)/(2.25)=2500`

The number of tickets that can be sold for the first level is 2500.