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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