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A landscaper is putting in a brick patio. The area of the patio is 110 square meters. If the bricks measure 10cm by 20cm, how many bricks will it take to make the patio?​

Sagot :

The landscaper needs 5,500 bricks to make the patio.

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Explanation:

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Given:

Area of patio = 110 m²

Area of bricks = 10 cm × 20 cm

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Required:

Number of bricks needed, n

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Equation:

[tex]n\:=\:\frac{Area\:of\:patio}{Area\:of\:bricks}[/tex]

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Solution:

Convert 10 cm and 20 cm to meters

[tex]=\:10\:cm\times\frac{1\:m}{100\:cm}[/tex]

[tex]=\:0.10\:m[/tex]

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[tex]=\:20\:cm\times\frac{1\:m}{100\:cm}[/tex]

[tex]=\:0.20\:m[/tex]

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Solve for the number of bricks needed

[tex]n\:=\:\frac{Area\:of\:patio}{Area\:of\:bricks}[/tex]

[tex]n\:=\:\frac{110\:m²}{0.1\:m\times0.2\:m}[/tex]

[tex]n\:=\:\frac{110\:m²}{0.02\:m²}[/tex]

[tex]n\:=\:5,500\:bricks[/tex]

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Final answer:

The landscaper needs 5,500 bricks to make the patio.

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