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?

Question

July200713mariellego July200713mariellego

Math

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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?

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HannahPandago HannahPandago · Answer 1

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

[tex]\\[/tex]

Explanation:

[tex]\\[/tex]

Given:

Area of patio = 110 m²

Area of bricks = 10 cm × 20 cm

[tex]\\[/tex]

Required:

Number of bricks needed, n

[tex]\\[/tex]

Equation:

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

[tex]\\[/tex]

Solution:

Convert 10 cm and 20 cm to meters

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

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

[tex]\\[/tex]

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

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

[tex]\\[/tex]

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]

[tex]\\[/tex]

Final answer:

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

[tex]\\[/tex]

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