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4C. Quintin is using the three different shaped
tiles shown to tile his kitchen floor:
Each tile is composed of 5 identical squares
and has an area of 2000 square centimetres.
The floor is a rectangle 10 metres long and 6 metres wide.
What is the smallest number of tiles Quintin will need in order to tile
his floor?

Sagot :

Using area and proportions, it is found that the smallest number of tiles that he will need to order is 300.

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The area of a rectangle of length l and width w is given by:

[tex]A = lw[/tex]

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  • The floor is 10 meters long, thus [tex]l = 10[/tex]
  • 6 meters wide means that [tex]w = 6[/tex]

Thus, the area of the floor is, in square metres:

[tex]A = lw = 10(6) = 60[/tex]

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  • Each tile has an area of 2000 square centimetres = 0.2 square metres.
  • Total area is 60 square metres, thus, the minimum number of tiles is:

[tex]\frac{60}{0.2} = \frac{600}{2} = 300[/tex]

A similar problem is given at https://brainly.com/question/10489198

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