Question

1 The diagram shows the floor plan for a

classroom. The Meeting Center will be
covered with carpet, and the rest of the floor
will be covered in tile. The tile costs $4.90 per
square foot. The budget for the tile is
$3,000.00. Is there enough money in
the budget to pay for the tile?
Explain your reasoning.

Answer 1

To determine if there is enough money in the budget to pay for the tile, we need to calculate the total cost of the tile based on the area of the floor that needs to be covered.

Looking at the diagram, we can see that the Meeting Center area is marked with a rectangle. Let's calculate the area of the Meeting Center:

Area of Meeting Center = Length * Width

= 20 ft * 12 ft

= 240 square feet

The remaining floor area that will be covered in tile is the total floor area minus the area of the Meeting Center. The total floor area is not given in the question, so we cannot calculate it directly. Therefore, we need additional information to determine if there is enough money in the budget.

If we assume that the remaining floor area is rectangular and has the same dimensions as the overall classroom dimensions (excluding the Meeting Center), we can calculate its area as follows:

Area of remaining floor = (Overall Length * Overall Width) - Area of Meeting Center

= (32 ft * 26 ft) - 240 square feet

Now, we can calculate the total cost of the tile by multiplying the area of the remaining floor by the cost per square foot:

Total cost of tile = Area of remaining floor * Cost per square foot

= (32 ft * 26 ft - 240 square feet) * $4.90

By comparing the total cost of the tile to the budget of $3,000.00, we can determine if there is enough money in the budget to pay for the tile.