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# On the scale drawing of a certain house plan if 1 centimeter represent

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On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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01 Jul 2016, 06:02
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On the scale drawing of a certain house plan, if 1 centimeter represents x meters, what is the value of x?

(1) A rectangular room that has a floor area of 12 square meters is represented by a region of area 48 square centimeters.
(2) The 15-meter length of the house is represented by a segment 30 centimeters long.

OG Q 2017 New Question(Book Question: 189)
[Reveal] Spoiler: OA

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Md. Abdur Rakib

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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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01 Jul 2016, 06:50
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D

both equations can be suff to find metre/centimetre i.e. =2

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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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01 Jul 2016, 07:02
Answer is D : Both are individually sufficient

Based on question, 1 cm is scale of x m, so 1 sq.cm is scale of $$x^2$$ sq.m

(1) A rectangular room that has a floor area of 12 square meters is represented by a region of area 48 square centimeters.
Based on this and using the statement from the question, we can equate as, if 1 sq.cm : $$x^2$$ sq.m :: 48 sq.cm : 12 sq.m.
No need to solve, but we know x can be solved, so Select A and D

(2) The 15-meter length of the house is represented by a segment 30 centimeters long.
This is straight forward to derive x, so select D.

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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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26 Feb 2017, 21:59
can someone please elaborate on why statement (1) is sufficient? Stmt 2 is clear. Thanks!

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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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27 Feb 2017, 07:44
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let L and B are the length and breadth of rectangle area = Lx B = 12 sq m

1 cm = x mtr ; 1mtr =1/x cm

on map area L/x * B/ x = 48 ; LxB=12 given

x = .5

Hence A alone also sufficient

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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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04 May 2017, 12:05
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AbdurRakib wrote:
On the scale drawing of a certain house plan,if 1 centimeter represents x meters,what is the value of x?

(1) A rectangular room that has a floor area of 12 square meters is represented by a region of area 48 square centimeters.
(2) The 15-meter length of the house is represented by a segment 30 centimeters long.

OG Q 2017 New Question(Book Question: 189)

This question was so easy I spent 2 minutes trying to figure out if there was a trick

1 cm is represented by x m. This is a ratio of $$\frac{1 cm}{x m}$$

Statement 1: You have a rectangle with an area of 48 $$cm^2$$ that represents a rectangle with area 12 $$m^2$$. That means $$\frac{48}{12} = \frac{1}{x}$$. This is sufficient.

Statement 2: You have a line that is 30 cm long that represents 15 m. That means $$\frac{30}{15} = \frac{1}{x}$$. This is sufficient.

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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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22 Sep 2017, 15:56
How is Statment 1 sufficient here? I'm just not following. I understand statement 2. Why are people squaring things at all in statement 1? x^2??

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Re: On the scale drawing of a certain house plan if 1 centimeter represent [#permalink]

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23 Sep 2017, 03:37
PurpleDrank3000 wrote:
How is Statment 1 sufficient here? I'm just not following. I understand statement 2. Why are people squaring things at all in statement 1? x^2??

1 centimeter represents x meters --> 1 centimeter^2 = x^2 meters.

(1) talks about the area, hence squaring.
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Re: On the scale drawing of a certain house plan if 1 centimeter represent   [#permalink] 23 Sep 2017, 03:37
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# On the scale drawing of a certain house plan if 1 centimeter represent

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