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On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the

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On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the  [#permalink]

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New post 26 Apr 2019, 01:46
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On a scale drawing, a rectangle 1 inch by \(1\frac{1}{3}\) inches represents the floor of a room and the indicated scale is 1 inch equals 15 feet. How many square tiles 6 inches on a side will be needed to cover this floor? (1 foot = 12 inches)

A. 40
B. 70
C. 120
D. 700
E. 1,200


PS40602.01
OG2020 NEW QUESTION

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On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the  [#permalink]

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New post Updated on: 27 Apr 2019, 03:14
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1
1 inch = 15ft
4/3 inch = 20ft

15*12 = 180 inches
20*12 = 240 inches

Total number of tiles = 180/6*240/6 = 30*40 = 1200 tiles

E is the answer.
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Originally posted by Chethan92 on 26 Apr 2019, 10:01.
Last edited by Chethan92 on 27 Apr 2019, 03:14, edited 1 time in total.
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Re: On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the  [#permalink]

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New post 26 Apr 2019, 14:47
Bunuel wrote:
On a scale drawing, a rectangle 1 inch by \(1\frac{1}{3}\) inches represents the floor of a room and the indicated scale is 1 inch equals 15 feet. How many square tiles 6 inches on a side will be needed to cover this floor? (1 foot = 12 inches)

A. 40
B. 70
C. 120
D. 700
E. 1,200


PS40602.01
OG2020 NEW QUESTION


The dimensions of the floor:
\(1 \ in'=15 \ ft=15\cdot 12 \ in\)
\(\frac{4}{3} \ in'=\frac{4}{3}\cdot 15=20 \ ft=20\cdot 12 \ in\)

Since, in inches, each dimension of the floor is a multiple of the side length of a square tile, the number of tiles needed is the ratio of the floor area to the area of a square tile.

\(\frac{15\cdot 12\cdot 20 \cdot 12}{6\cdot 6}=30\cdot 40=1200\)

Answer: E
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Re: On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the  [#permalink]

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New post 27 Apr 2019, 01:03
Room area = 1 inch * [4][/3] inch
= (1 * 15) * ( [4][/3] * 15) feets
= (15 * 12) * ([60][/3] * 12) inches
= (15 * (2*6)) * ([60][/3] * (2*6)) inches
= (30 * 6 * [120][/3] * 6

each 6 is a tile
= (30 * [120][/3])
= 1200
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Re: On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the  [#permalink]

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New post 27 Apr 2019, 06:00
Bunuel wrote:
On a scale drawing, a rectangle 1 inch by \(1\frac{1}{3}\) inches represents the floor of a room and the indicated scale is 1 inch equals 15 feet. How many square tiles 6 inches on a side will be needed to cover this floor? (1 foot = 12 inches)

A. 40
B. 70
C. 120
D. 700
E. 1,200


PS40602.01
OG2020 NEW QUESTION


total area ; 1 * 4/3 = 4/3 inche^2
1 inch = 15 feet so 15 * 4/3 ; 20 feet ^2
and 1 feet =12 inches , so 20 * 12 ;240 inches and 15*12 ; 180
so tiles required ; 180 /6 * 240/6 = 30 * 40 = 1200
IMO E
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Re: On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the  [#permalink]

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New post 28 Apr 2019, 04:30
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1 inch = 15 feet
4/3 inch = 20 feet.
Convert to inches now => 15*12=180; 20*12=240. So, we are getting 180 by 240 or 30(180/6)*40(240/6)=1200 (E)
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Re: On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the  [#permalink]

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New post 01 May 2019, 00:15
2

Solution



Given:
    • Dimensions of the rectangular floor = 1 inch by 1 \(\frac{1}{3}\) inches
      o 1 inch = 15 feet
      o 1 feet = 12 inches

To find:
    • The number of square tiles 6 inches on a side will be needed to cover this floor.

Approach and Working:
    • Dimensions of the rectangle in feet= 1* 15 feet by \(\frac{4}{3}\) * 15 feet = 15 feet by 20 Feet
    • Dimensions of the rectangle in inches = 15* 20 inches by 20 * 12 inch = 180 inches by 240 inches

Area of the floor = 180* 240

    • Total number of square tiles of side length 6 inches need to cover this floor = \(\frac{180 * 240}{6 * 6}\)
      o = 1200
    • Hence, the correct answer is option E.

Correct Answer: E
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Re: On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the  [#permalink]

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New post 02 May 2019, 17:19
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Bunuel wrote:
On a scale drawing, a rectangle 1 inch by \(1\frac{1}{3}\) inches represents the floor of a room and the indicated scale is 1 inch equals 15 feet. How many square tiles 6 inches on a side will be needed to cover this floor? (1 foot = 12 inches)

A. 40
B. 70
C. 120
D. 700
E. 1,200


PS40602.01
OG2020 NEW QUESTION


If the scale of the drawing is 1 inch = 15 feet, then the room has dimensions of 15 ft by 20 ft. Therefore, the area of the room is 15 x 20 = 300 sq. ft. Since each tile is 1/2 x 1/2 = 1/4 sq. ft, we need 300/(1/4) = 300 x 4 = 1,200 tiles to cover the floor of the room.

Answer: E
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On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the  [#permalink]

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New post 11 May 2019, 23:23
Bunuel wrote:
On a scale drawing, a rectangle 1 inch by \(1\frac{1}{3}\) inches represents the floor of a room and the indicated scale is 1 inch equals 15 feet. How many square tiles 6 inches on a side will be needed to cover this floor? (1 foot = 12 inches)

A. 40
B. 70
C. 120
D. 700
E. 1,200


PS40602.01
OG2020 NEW QUESTION


Area of the room =1*4/3
1 inch represent = 15 feet

area in feet=15*4/3*15=15*20 Ft

area in inch=(15*12)(20*12)inch


tiles needed =15*12*20*12/6*6=1200

Answer is E

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Re: On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the  [#permalink]

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New post 22 May 2019, 04:36
Chethan92 wrote:
1 inch = 15ft
4/3 inch = 20ft

15*12 = 180 inches
20*12 = 240 inches

Total number of tiles = 180/6*240/6 = 30*40 = 1200 tiles

E is the answer.



Not the smartest question but why are we taking both the cases? the other one is just a scale, right?
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Re: On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the  [#permalink]

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New post 13 Sep 2019, 00:12
Convert the drawing from inches to feet and you end up with a rectangle that is 20ft by 15ft
each tile is 6 inches or 1/2 ft

20ft/ 1/2ft per tile = 40 tiles
15ft / 1/2ft per tile = 30 tiles
40*30 = 1200
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Re: On a scale drawing, a rectangle 1 inch by 1 1/3 inches represents the   [#permalink] 13 Sep 2019, 00:12
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