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

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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

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
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