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04 Mar 2019, 07:30
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
27% (03:01) correct
73%
(02:23)
wrong
based on 75
sessions
History
Date
Time
Result
Not Attempted Yet
A painting 4.5 ft X 1.4 ft is to be bordered with a 3 inches wide wooden strip. What is the minimum length of the strip required to border the painting?
A. 13
B. 14
C. 15
D. 16
E. 17
A. 13
B. 14
C. 15
D. 16
E. 17
06 Mar 2019, 03:36
Kudos
Bookmarks
Hello,
Greetings for the day.
Although this question looks like a simple question on mensuration, there is a trick element involved in it, and therefore, it is very easy to make calculation mistakes.
We are required to find the length of the strip required to border the painting.
The dimensions of the painting are 4.5 feet by 1.4 feet. This is a rectangle.
If we draw a border of 3 inches width, we will obtain a rectangle which is both longer and wider, around the painting. Because we have to calculate the length of this border, essentially, we are required to calculate the perimeter of the outer rectangle.
Also, since the width of the border is given in inches, whereas the dimensions of the painting are given in feet, it’s a good idea to convert feet to inches.
1 foot = 12 inches.
Therefore, 4.5 feet = 4 feet + 0.5 feet = 48 + 6 = 54 inches
and 1.4 feet = 1 feet + 0.4 feet = 12 + 4.8 = 16.8 inches
The whole situation above can be represented as shown in the diagram below.
GMAT Club - 05032019.jpg [ 33.53 KiB | Viewed 4260 times ]
We can see from the figure that the length of the outer rectangle is 60 inches and the width of the outer rectangle is 22.8 inches.
Hence, the minimum length of the border has to be 60 inches and the minimum width has to be 22.8 inches.
Now, 60 inches = 5 feet and 1feet< 22.8 inches < 2 feet.
Since all the options are given in terms of integers, the minimum width of the border has to be 24 inches I.e. 2 feet. Therefore, the minimum perimeter of the outer rectangle will have to be 2(60 + 24) = 168 inches which is nothing but 14 feet.
There we go, the correct answer option is B.
A point to be noted here is the importance of being good at conversions. If you are well versed with the basic conversions, then you will be in a great position to convert this question from a tricky question to an easy question.
Hope this helps!
Cheers.
Greetings for the day.
Although this question looks like a simple question on mensuration, there is a trick element involved in it, and therefore, it is very easy to make calculation mistakes.
We are required to find the length of the strip required to border the painting.
The dimensions of the painting are 4.5 feet by 1.4 feet. This is a rectangle.
If we draw a border of 3 inches width, we will obtain a rectangle which is both longer and wider, around the painting. Because we have to calculate the length of this border, essentially, we are required to calculate the perimeter of the outer rectangle.
Also, since the width of the border is given in inches, whereas the dimensions of the painting are given in feet, it’s a good idea to convert feet to inches.
1 foot = 12 inches.
Therefore, 4.5 feet = 4 feet + 0.5 feet = 48 + 6 = 54 inches
and 1.4 feet = 1 feet + 0.4 feet = 12 + 4.8 = 16.8 inches
The whole situation above can be represented as shown in the diagram below.
Attachment:
GMAT Club - 05032019.jpg [ 33.53 KiB | Viewed 4260 times ]
We can see from the figure that the length of the outer rectangle is 60 inches and the width of the outer rectangle is 22.8 inches.
Hence, the minimum length of the border has to be 60 inches and the minimum width has to be 22.8 inches.
Now, 60 inches = 5 feet and 1feet< 22.8 inches < 2 feet.
Since all the options are given in terms of integers, the minimum width of the border has to be 24 inches I.e. 2 feet. Therefore, the minimum perimeter of the outer rectangle will have to be 2(60 + 24) = 168 inches which is nothing but 14 feet.
There we go, the correct answer option is B.
A point to be noted here is the importance of being good at conversions. If you are well versed with the basic conversions, then you will be in a great position to convert this question from a tricky question to an easy question.
Hope this helps!
Cheers.
12 Apr 2019, 03:09
Kudos
Bookmarks
this question is not good , first of all I don't know 1 ft = how much inches , am I supposed to meomrize that ?
secondly , you are asking for the minimum length of the stripe , what is the unit ? how are we supposed to assume that you want the length in inches , or in feet !?
secondly , you are asking for the minimum length of the stripe , what is the unit ? how are we supposed to assume that you want the length in inches , or in feet !?
