# A landscaper is putting in a brick patio. The area of the patio is 110 square meters. If the bricks measure 10 centimeters by 20 centimeters, how many bricks will it take to make the patio? Assumes no space between bricks?

Nov 26, 2017

5500 bricks

#### Explanation:

Since it is:

$1 m = 100 c m$

the area is

$110 {m}^{2} = 110 \cdot {\left(100 c m\right)}^{2} = 1100000 c {m}^{2}$

A brick is

$10 c m \cdot 20 c m = 200 c {m}^{2}$

Then the landscaper can put

$1100000 : 200 = 5500$ bricks to make the patio

Nov 26, 2017

It will take 5,500 bricks to make the patio.

#### Explanation:

1) Find the area of each brick

Each brick is 10 cm × 20 cm
That is 200 cm² per brick.
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2) Find the area of the patio in square centimeters
$110$ m² = $1 , 100 , 000$ cm²
Use an on-line calculator for this conversion
http://www.metric-conversions.org/area/square-meters-to-square-centimeters.htm
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3) Find out how many 200 cm² bricks it would take to fill in an area
that is $1 , 100 , 000$ cm² in size

$1 , 100 , 000$ $\div$ 200 = 5500 bricks $\leftarrow$ answer
...................

It will take 5,500 bricks to make the patio.
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Check
5500 bricks @ 200 cm² ea = $1 , 100 , 000$ cm²
$1 , 100 , 000$ cm² = $110$
http://www.metric-conversions.org/area/square-centimeters-to-square-meters.htm
Check!