Question

You are opening a restaurant. In the figure, the dining area of the restaurant is rectangle JKLM. Each unit in the coordinate plane represents 1 foot.

The points are J(3,30) K(33,30) L(33,0) M(3,0)

part a. Find the area A of the dining area.

A= ft2

part b. A local fire safety code recommends seating no more than one person per 15 square feet. Find the maximum number of people the restaurant should seat in the dining area.

Maximum number of people:

Answer 1

a.
`A=900\ ft^2`

b.
`Maximum\ number\ of\ people: 60`

Explanation:

The rectangle JKLM is attached, where each unit in the coordinate plane represents 1 foot.

a. You cab ibserve in the figure that the dimensions of the rectangle are:

`30\ ft` by
`30\ ft`

Threfore, in order to calculate the area of the dining room, you can multiply these dimensions.

Then, this is:

`A=(30\ ft)(30\ ft)\\\\A=900\ ft^2`

b. Then, in order to find the maximum number of people the restaurant should seat in the dining area (according to the recommendation from the Local Fire Safety) you need to divide the area of the dining room by 15 square feet.

Therefore:

`Maximum\ number\ of\ people=(900\ ft^2)/(15\ ft^2)\\\\Maximum\ number\ of\ people=60`