A rectangular swimming pool measures 15 meters in length and 10 meters in width. If tiles are to be placed around the pool with a uniform width of 0.5 meters, what is the total area covered by the tiles? - Redraw
How to Calculate the Total Area Covered by Swim Pool Tiles: A 15m x 10m Rectangular Pool with 0.5m Tiles
How to Calculate the Total Area Covered by Swim Pool Tiles: A 15m x 10m Rectangular Pool with 0.5m Tiles
When designing a residential swimming pool, one crucial factor that impacts both aesthetics and value is tile installation around the perimeter. For a rectangular pool measuring 15 meters in length and 10 meters in width, properly installed tiles with a uniform width of 0.5 meters create a clean, finished border. But just how much surface area do these tiles cover?
In this SEO-optimized article, we will break down the mathematics behind calculating the total tile-covered area, providing clear, actionable insights for home remodelers, pool builders, and DIY enthusiasts alike.
Understanding the Context
Understanding the Pool and Tile Layout
Given:
- Pool dimensions: 15 m (length) × 10 m (width)
- Tile width: 0.5 meters (applied uniformly around the pool border)
Since tiles extend outward around the pool, the tiles form a frame border around the pool. To find the total tile area, we calculate the area of the outer tile-lined rectangle and subtract the area of the inner pool itself.
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Key Insights
Step 1: Determine the Dimensions of the Outer Edge Including Tiles
The tiles add 0.5 meters to each side of the pool:
- Inner pool area: 15 m × 10 m
- Tile width added on both length sides: 0.5 m × 2 = 1.0 m
- Tile width added on both width sides: 0.5 m × 2 = 1.0 m
Thus, the outer dimensions including tiles are:
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- New length = 15 m + 1 m = 16.0 meters
- New width = 10 m + 1 m = 11.0 meters
Step 2: Calculate Total Area Including Tiles
Use the formula for the area of a rectangle:
Area = length × width
So,
Outer total area = 16.0 m × 11.0 m = 176 square meters
Step 3: Subtract the Pool Surface Area
The inner pool surface area is:
15 m × 10 m = 150 square meters
