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A rectangular wall has dimensions of 800 by 300. If the wall is tiled

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A rectangular wall has dimensions of 800 by 300. If the wall is tiled  [#permalink]

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New post 15 Jan 2019, 00:59
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[Math Revolution GMAT math practice question]

A rectangular wall has dimensions of \(800\) by \(300\). If the wall is tiled using tiles measuring \(12 x 25\) of the same units, how many tiles are used?

\(A. 360\)
\(B. 400\)
\(C. 500\)
\(D. 600\)
\(E. 800\)

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A rectangular wall has dimensions of 800 by 300. If the wall is tiled  [#permalink]

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New post 15 Jan 2019, 02:52
MathRevolution wrote:
[Math Revolution GMAT math practice question]

A rectangular wall has dimensions of \(800\) by \(300\). If the wall is tiled using tiles measuring \(12 x 25\) of the same units, how many tiles are used?

\(A. 360\)
\(B. 400\)
\(C. 500\)
\(D. 600\)
\(E. 800\)



800* 300/12*25

solve
we get
800
IMOE
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Re: A rectangular wall has dimensions of 800 by 300. If the wall is tiled  [#permalink]

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New post 15 Jan 2019, 05:50
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MathRevolution wrote:
[Math Revolution GMAT math practice question]

A rectangular wall has dimensions of \(800\) by \(300\). If the wall is tiled using tiles measuring \(12 x 25\) of the same units, how many tiles are used?

\(A. 360\)
\(B. 400\)
\(C. 500\)
\(D. 600\)
\(E. 800\)

Trivial application of UNITS CONTROL, one of the most powerful tools of our method!

(We assume the units length is centimeters, just for didactic reasons.)

\(?\,\,\, = \,\,\,800 \cdot 300\,\,{\rm{c}}{{\rm{m}}^2}\,\,\left( {{{1\,\,{\rm{tile}}} \over {12\, \cdot 25\,\,{\rm{c}}{{\rm{m}}^2}}}} \right)\,\,\,\, = \,\,\,\,{{800 \cdot 3 \cdot 4 \cdot 25} \over {3 \cdot 4 \cdot 25}}\,\,{\rm{tiles}}\,\,\, = \,\,\,800\,\,\,{\rm{tiles}}\)


This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
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Re: A rectangular wall has dimensions of 800 by 300. If the wall is tiled  [#permalink]

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New post 15 Jan 2019, 11:07
MathRevolution wrote:
[Math Revolution GMAT math practice question]

A rectangular wall has dimensions of \(800\) by \(300\). If the wall is tiled using tiles measuring \(12 x 25\) of the same units, how many tiles are used?

\(A. 360\)
\(B. 400\)
\(C. 500\)
\(D. 600\)
\(E. 800\)


IMHO \(x = *\) ( In this case , if I am not wrong)

Number of tiles required is \(\frac{800*300}{12*25} = 800\), Thus, Answer must be (E) 800
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Re: A rectangular wall has dimensions of 800 by 300. If the wall is tiled  [#permalink]

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New post 17 Jan 2019, 02:08
=>

Now, \(\frac{800}{25} = 32\) and \(\frac{300}{12} = 25.\) Thus, the number of tiles required is \(32 * 25 = 800\).

Therefore, the answer is E.
Answer: E
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Re: A rectangular wall has dimensions of 800 by 300. If the wall is tiled   [#permalink] 17 Jan 2019, 02:08
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