Calculate Tiles Needed: Converting 850 cm² Pool Area to 10x5 cm Tiles

Area Division with Rectangular Tiles

Joseph is building a pool.

He buys tiles with sides measuring 10 cm by 5 cm.

The size of Joseph's pool is 850 cm².

How many tiles does Joseph need to complete the pool?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine how many tiles Joseph needs to fill the pool
00:03 Apply the formula for calculating the area of a rectangle
00:06 Side(5) X side(10)
00:09 This is the area of one tile, now let's see how many are needed for the pool
00:13 Divide the pool area by the area of one tile
00:16 This is the required number of tiles and the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Joseph is building a pool.

He buys tiles with sides measuring 10 cm by 5 cm.

The size of Joseph's pool is 850 cm².

How many tiles does Joseph need to complete the pool?

2

Step-by-step solution

First, let's calculate the area of the tile by multiplying length and width:

10×5=50 10\times5=50

Now let's calculate how many tiles fit in the given pool area - 850 cm²:

850:50=17 850:50=17

Therefore, Joseph needs 17 tiles in total.

3

Final Answer

17 17

Key Points to Remember

Essential concepts to master this topic
  • Rule: Find tile area first by multiplying length times width
  • Technique: Divide total area by tile area: 850÷50=17 850 \div 50 = 17
  • Check: Multiply tiles by tile area: 17×50=850 17 \times 50 = 850 cm² ✓

Common Mistakes

Avoid these frequent errors
  • Adding dimensions instead of multiplying for area
    Don't calculate tile area as 10 + 5 = 15 cm² = need 56⅔ tiles! Adding gives perimeter, not area. Always multiply length × width to find the area of rectangles.

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle below.

Side DC has a length of 1.5 cm and side AD has a length of 9.5 cm.

What is the perimeter of the rectangle?

1.51.51.5AAABBBCCCDDD9.5

FAQ

Everything you need to know about this question

Why do I need to find the tile area first?

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You need to know how much space each tile covers before you can figure out how many fit in the pool! Think of it like puzzle pieces - you need to know the size of each piece first.

What if I get a fraction or decimal answer?

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In real life, you'd need to round up to the next whole number since you can't buy part of a tile. But for math problems, give the exact answer unless told otherwise.

Can I use the formula backwards to check my work?

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Absolutely! Multiply your answer by the tile area: 17 × 50 = 850 cm². If you get the original pool area, you're correct!

What if the pool area doesn't divide evenly by tile area?

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Then you'd get a decimal or fraction answer. This means some tiles would need to be cut to fit perfectly. Always show your exact calculation first.

Do I need to worry about the shape of the pool?

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Not for this problem! You only need the total area. Whether the pool is square, rectangular, or another shape doesn't matter - just divide total area by tile area.

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