You are given the job of laying carpet for a six-story building. At each floor the dimensions of the floor are 75 meters in length by 40 meters in width. A stairwell takes up a space 2.5 m by 1.5 m, and cuts through each floor. If the rest of the floor area is to be carpeted, how much carpeting will you need?

Total area=

Can you help me

A = LW

A = (75 * 40) - (2.5 * 1.5)

A = ________ square meters for each floor

Multiply your answer by 6.

17,977.5

Right.

To calculate the total area of carpet needed for the six-story building, we first need to calculate the area of each floor. The dimensions of each floor are 75 meters in length and 40 meters in width.

The total area of each floor can be calculated by multiplying the length and width:

Floor area = length * width
Floor area = 75 meters * 40 meters

Next, we need to consider the area occupied by the stairwell on each floor. The dimensions of the stairwell are given as 2.5 meters by 1.5 meters.

The area of the stairwell on each floor can be calculated by multiplying the length and width:

Stairwell area = length * width
Stairwell area = 2.5 meters * 1.5 meters

To calculate the total area of carpet needed for all six floors, we need to deduct the area of the stairwell from the total floor area and then multiply it by the number of floors:

Total area = (Floor area - Stairwell area) * Number of floors

Plugging in the given values:

Total area = ((75 meters * 40 meters) - (2.5 meters * 1.5 meters)) * 6

Now we can calculate the total area of carpet needed.