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# why multiplying by 100

## Tags: Mathematik

14:46 Uhr, 19.09.2022

Hi, I am in doubt about a step in the solution.

A 3-foot-wide wood deck will be built around a rectangular-shaped pool that measures $15$ feet by $30$ feet. The resulting shape is also rectangular. If the lumber costs $10$ dollars per square yard, what is the cost of the wood for the deck?

there is a step in which the teacher multiplies by $100$ the result of the subtraction of the internal rectangle and the outside rectangle.
why does he have to multiply the $306$ ft^2 by $100$?

I see he doesn't multiply by $10$ dollars ( the cost of the lumber). why?
is it because he wants to take $306$ ft^2 into square yards?

Vielen Dank für Ihre unschätzbare Hilfe.

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15:48 Uhr, 19.09.2022

show the calculation in full context...

08:01 Uhr, 20.09.2022

$1{f\phantom{\rule{0.12em}{0ex}}}^{2}=\frac{1}{3}y\phantom{\rule{0.12em}{0ex}}\cdot \frac{1}{3}y\phantom{\rule{0.12em}{0ex}}=\frac{1}{9}{y\phantom{\rule{0.12em}{0ex}}}^{2}$

area to be covered:
$\left(30+6\right)\cdot \left(15+6\right)-30\cdot 15=306{f\phantom{\rule{0.12em}{0ex}}}^{2}=34{y\phantom{\rule{0.12em}{0ex}}}^{2}$

$34\cdot 10=$ 340\$
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