Math Problem Statement
Solution
The problem described in the image asks us to calculate the number of ceramic tiles required to cover the floor area of a building, excluding a stage that occupies of the total floor area.
Let's break this down:
Given Information:
- Total floor area of the building:
- Ratio of length to width:
- Stage area: of the total area of the building
- Tile dimensions:
- Ignore wall tiling for this calculation.
Step-by-Step Solution:
-
Calculate the area of the stage:
-
Calculate the usable floor area (without the stage):
-
Calculate the area of one tile:
-
Determine the total number of tiles required:
Thus, the total number of tiles required is 1400.
Answer:
The correct option is C) 1400.
Would you like further explanation on any part of the solution?
Here are 5 related questions to expand your understanding:
- How would the number of tiles change if the stage took up of the total floor area?
- How do changes in tile size affect the total number of tiles required?
- What would be the length and width of the building based on the given ratio?
- If the tile cutting was not allowed, how would this affect the solution?
- How many tiles would be needed if the stage was also tiled?
Tip: When dealing with ratio problems, always verify if the ratio applies to the entire area or just a portion of it.
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Math Problem Analysis
Mathematical Concepts
Area Calculation
Ratio
Division
Formulas
Stage area = Total area × 1/8
Usable area = Total area - Stage area
Tile area = Length × Width
Number of tiles = Usable area ÷ Tile area
Theorems
Area of Rectangles
Suitable Grade Level
Grades 10-12
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