In A Scaled Drawing, 1/3 Of An Inch Represents 6 Feet. How Many Inches Represent 54 Feet?
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Re: On a calibration cartoon, a rectangle 1 inch by one 1/3 inches represents the [#permalink] 
10 Dec 2022, 10:43
Gaurangp wrote:
4/3 is already in inches so why we are converting it once more in inches.
Posted from my mobile device
The inches of measurement scale representing dissimilar measurements in reality. In another give-and-take, the measurement calibration is compressed.
1 Inche =15 feet
The are of the room = \(15*fifteen*\frac{four}{three}=300\) foursquare anxiety
Area of the tiles =half dozen inches \(=0.50 \ feet=0.5*0.v=0.25\) foursquare feet
Tiles required \(=\frac{300}{25}*100= 1200\)
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Re: On a scale drawing, a rectangle 1 inch by 1 1/three inches represents the [#permalink] 18 Dec 2022, 23:28
EgmatQuantExpert wrote:
Solution
Given:
- • Dimensions of the rectangular flooring = ane inch by 1 \(\frac{1}{3}\) inches
- o 1 inch = fifteen feet
o 1 anxiety = 12 inches
To find:
- • The number of square tiles 6 inches on a side will be needed to comprehend this floor.
Approach and Working:
- • Dimensions of the rectangle in feet= i* fifteen anxiety past \(\frac{iv}{3}\) * 15 feet = xv feet by 20 Feet
• Dimensions of the rectangle in inches = 15*
Area of the flooring = 180* 240
- • Total number of square tiles of side length 6 inches demand to comprehend this floor = \(\frac{180 * 240}{6 * 6}\)
- o = 1200
Right Answer: E
Thanks for the explanation EgmatQuantExpert. However a little correction in calculation.
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Re: On a scale cartoon, a rectangle 1 inch by 1 1/3 inches represents the [#permalink] 27 Feb 2022, 16:21
So is it different ich from inches??? I thought they were the same
o 1 inch = 15 anxiety
o one anxiety = 12 inches
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On a scale cartoon, a rectangle i inch past 1 i/iii inches represents the [#permalink] xv Mar 2022, 23:36
I think the confusion on this ane may be accidentally conflating i foot (12 inches) with the measurement of i square foot. 1 square foot is 144 square inches.
The solutions others have provided are the fastest means to solve it, but to think about it differently:
Convert the Scale Drawing of the Floor to Total Scale
1 inch at scale = 15 feet.
iv/3 inch at scale = 20 anxiety.
Summate the Expanse of the Flooring
15 feet * 20 feet = 300 square anxiety.
300 feet * 144 (1 square human foot in square inches) = 43,200 square inches.
Calculate the Area of One Tile
6 inches * 6 inches = 36 square inches.
Summate Full Tiles to Embrace the Entire Floor
43,200 square inches / 36 square inches = i,200 tiles to comprehend the flooring.
This is a long manner to solve the trouble that would not be optimal for the test, but perchance it will help make sense of it for those who are still getting 100 tiles (incorrectly calculating it every bit I first did: xv*20=300, 300*12=3600/(6*6)=100). Also, I'm not great at math... AndrewN or ScottTargetTestPrep, can you validate the rationale I've laid out?
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Re: On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the [#permalink] 16 Mar 2022, 03:31
DaenerysTargaryen wrote:
I call up the confusion on this one may be accidentally conflating 1 pes (12 inches) with the measurement of 1 square foot. 1 square pes is 144 square inches.
The solutions others have provided are the fastest ways to solve it, but to recollect about it differently:
Convert the Scale Cartoon of the Floor to Total Scale
i inch at scale = xv feet.
iv/3 inch at scale = 20 feet.
Calculate the Area of the Floor
15 feet * 20 feet = 300 square anxiety.
300 feet * 144 (1 square foot in square inches) = 43,200 foursquare inches.
Calculate the Surface area of Ane Tile
six inches * six inches = 36 square inches.
Summate Total Tiles to Cover the Entire Floor
43,200 foursquare inches / 36 square inches = i,200 tiles to embrace the floor.
This is a long way to solve the problem that would not exist optimal for the test, but peradventure it will help brand sense of it for those who are still getting 100 tiles (incorrectly computing information technology as I start did: 15*twenty=300, 300*12=3600/(six*half dozen)=100). Also, I'k not great at math... AndrewN or ScottTargetTestPrep, can y'all validate the rationale I've laid out?
Yes, DaenerysTargaryen, yous have it merely right. (If y'all are wondering how I solved the problem, I converted the tile dimensions to feet instead. Why? Because I am lazy, and I would rather work with smaller numbers.) I like to say that equally long as you end up with the correct answer within a reasonable amount of time, there is no incorrect way to solve a question. Well done on this one.
- Andrew
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Re: On a scale drawing, a rectangle 1 inch past i 1/3 inches represents the [#permalink] 17 Apr 2022, 06:46
EgmatQuantExpert wrote:
Solution
Given:
- • Dimensions of the rectangular floor = i inch past one \(\frac{1}{3}\) inches
- o 1 inch = 15 anxiety
o ane anxiety = 12 inches
To find:
- • The number of foursquare tiles 6 inches on a side will exist needed to comprehend this floor.
Approach and Working:
- • Dimensions of the rectangle in feet= 1* xv feet by \(\frac{4}{3}\) * xv feet = fifteen feet by 20 Feet
• Dimensions of the rectangle in inches = 15* 20 inches by xx * 12 inch = 180 inches by 240 inches
Area of the floor = 180* 240
- • Full number of foursquare tiles of side length six inches need to cover this floor = \(\frac{180 * 240}{6 * half dozen}\)
- o = 1200
Right Reply: E
A piffling correction >
• Dimensions of the rectangle in inches = 15* 12 inches past 20 * 12 inch = 180 inches past 240 inches
instead of :
• Dimensions of the rectangle in inches = 15* xx inches past xx * 12 inch = 180 inches past 240 inches
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Re: On a scale drawing, a rectangle one inch by 1 1/three inches represents the [#permalink] 18 Apr 2022, 03:l
I call up there is a typo.
EgmatQuantExpert wrote:
Solution
Given:
- • Dimensions of the rectangular floor = one inch by 1 \(\frac{1}{iii}\) inches
- o 1 inch = 15 feet
o ane anxiety = 12 inches
To find:
- • The number of square tiles six inches on a side will be needed to comprehend this floor.
Arroyo and Working:
- • Dimensions of the rectangle in anxiety= 1* xv feet by \(\frac{four}{three}\) * 15 anxiety = fifteen feet by 20 Feet
• Dimensions of the rectangle in inches =
Area of the flooring = 180* 240
- • Total number of square tiles of side length 6 inches demand to cover this floor = \(\frac{180 * 240}{half dozen * 6}\)
- o = 1200
Correct Answer: E
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Re: On a scale cartoon, a rectangle 1 inch by 1 i/iii inches represents the [#permalink] 15 May 2022, 03:xiv
Bunuel wrote:
On a scale drawing, a rectangle 1 inch by \(i\frac{1}{3}\) inches represents the flooring of a room and the indicated scale is ane inch equals xv feet. How many foursquare tiles six inches on a side volition be needed to encompass this floor? (1 foot = 12 inches)
A. 40
B. lxx
C. 120
D. 700
E. 1,200
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Re: On a scale drawing, a rectangle one inch by one 1/3 inches represents the [#permalink] 20 Sep 2022, 02:19
In anxiety, the floor is (i)(fifteen) feet = 15 feet by (4/3)(15)=xx feet with an area of (15)(20) = 300 square feet
and each tile is (i/two) foot by (ane/2) foot with an area of (i/2)(i/2)=(i/4) square feet.
The number of tiles needed to comprehend the floor is then (300) /(one/four) =1,200
Alternatively, in inches, the floor is (one)(15)(12) inches = 180 inches by (iv/three)(15)(12)=240 inches with an area of (180)(240) square inches and each tile is vi inches by 6 inches with an area of (half dozen)(6) square inches.
The number of tiles needed to comprehend the flooring is then
(180)(240) / (6)(half-dozen) = (30)(40) = i,200
Right Choice E
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Re: On a scale drawing, a rectangle i inch by 1 ane/3 inches represents the [#permalink] 23 Sep 2022, 05:20
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Re: On a scale drawing, a rectangle ane inch past 1 1/3 inches represents the [#permalink] 19 Dec 2022, 15:52
How can I tell that the GMAT wants me to present/answer the question in terms of inches? the concluding part, i.eastward. the parentheses
(i foot = 12 inches) really confused me. I had already converted ane and 4/three inches to 15 and 20 feet and merely got stuck.
Thanks in advance!
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Re: On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the [#permalink] 24 Jan 2022, 03:54
Here is how I solved it:
Given:
1. A rectangular surface area with the dimensions in inches and that ane inch = 15 ft.
2. Square tiles with the dimensions in inches, with 12 inches = one ft.
Offset step: Catechumen the dimensions of the rectangular are from inches to ft. Nosotros get 15 ten 20 ft. Thus, the surface area nosotros are talking near here is 300 ft.
Second footstep: We have foursquare tiles of sure dimensions given in inches. The expanse of these foursquare tiles would be side*side, but in anxiety, since we are talking nearly anxiety here from the previous step. Since 12 inches equal 1 foot; half dozen inches equal 1/2 human foot. Area is 1/2*one/2=1/iv sq. foot per tile.
Third footstep: How many of these square tiles would be required to fill in 300 foursquare feet?
1/4*x = 300 feet.
Yous get x = 1200 tiles.
Thus, the respond is East.
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On a calibration cartoon, a rectangle 1 inch by 1 1/3 inches represents the [#permalink] 03 Feb 2022, 23:57
On a scale drawing, a rectangle ane inch by one ane/3 inches represents the [#permalink]
03 Feb 2022, 23:57
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