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A rectangle with dimensions 75 inches by 100 inches is divided into 20

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Bunuel
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A rectangle with dimensions 75 inches by 100 inches is divided into 20 [#permalink] New post   16 May 2019, 21:28
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A rectangle with dimensions 75 inches by 100 inches is divided into 20 smaller rectangles. If each rectangle has equal dimensions, how many inches of lines are needed to divide the original rectangle?

(1) One of the dimensions of each of the rectangles is 15 inches.
(2) One of the dimensions of each of the rectangles is 25 inches.
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Rakesh1987
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A rectangle with dimensions 75 inches by 100 inches is divided into 20 [#permalink] New post   18 May 2019, 02:21
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Bunuel wrote:
A rectangle with dimensions 75 inches by 100 inches is divided into 20 smaller rectangles. If each rectangle has equal dimensions, how many inches of lines are needed to divide the original rectangle?

(1) One of the dimensions of each of the rectangles is 15 inches.
(2) One of the dimensions of each of the rectangles is 25 inches.



Area of each smaller rectangle= 75*100/20=375. If we know the dimension of any side, we can calculate the dimension of the adjacent side. Once we know the exact dimension of the smaller rectangles, we will know how many inches of lines will be needed to divide the original rectangle-- the lines will be cut along the perimeter of the rectangles, each of the lines will be shared by two rectangles, and the perimeter of the original rectangle need not be cut.
1) One of the dimension of each of the rectangles is 15 inches, the other is therefore= 375/15=25. Sufficient
2) One of the dimension of each of the rectangles is 25 inches, the other is therefore= 375/25=15. Sufficient
Answer is D.
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Re: A rectangle with dimensions 75 inches by 100 inches is divided into 20 [#permalink] New post   16 May 2019, 21:39
Bunuel,

Is the answer D?

(1) Division has to be along the 75 inches side for equal rectangles
(2) Division has to be along the 25 inches side for equal rectangles
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Re: A rectangle with dimensions 75 inches by 100 inches is divided into 20 [#permalink] New post   15 May 2021, 13:57
Bunuel wrote:
A rectangle with dimensions 75 inches by 100 inches is divided into 20 smaller rectangles. If each rectangle has equal dimensions, how many inches of lines are needed to divide the original rectangle?

(1) One of the dimensions of each of the rectangles is 15 inches.
(2) One of the dimensions of each of the rectangles is 25 inches.


Is there any official explanation?? I didnt understand how to solve it ?
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Re: A rectangle with dimensions 75 inches by 100 inches is divided into 20 [#permalink]
15 May 2021, 13:57
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Bunuel
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