The combined cost for carpeting and the fence, totaling 9372.48 pesos, falls within the allocated budget of 16,000 pesos. The kindergarten's requirements can be met without exceeding the financial limit.
Area of the Carpet:
Area of one equilateral triangle:
Area of one triangle = 0.433 * (4 cm)^2
Area of one triangle ≈ 6.928 cm^2
Total area of the hexagon:
Total area of hexagon = 6 * Area of one triangle
Total area of hexagon ≈ 41.568 cm^2
Length of the Fence:
Perimeter of the hexagon:
Perimeter of hexagon = 6 * 4 cm
Perimeter of hexagon = 24 cm
Budget Calculation:
Carpet cost:
Carpet cost = Total area of hexagon * 110 pesos per square meter
Carpet cost ≈ 4572.48 pesos
Fence cost:
Fence cost = Perimeter of hexagon * 200 pesos per meter
Fence cost = 4800 pesos
Total cost:
Total cost = Carpet cost + Fence cost
Total cost = 9372.48 pesos
Budget Check:
The total cost of 9372.48 pesos is within the budget of 16,000 pesos.
Therefore, the total cost for carpeting and the fence is within the budget.