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# A farmer has two rectangular fields. The larger field has twice the le

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
A farmer has two rectangular fields. The larger field has twice the le  [#permalink]

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26 Aug 2018, 21:44
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Difficulty:

35% (medium)

Question Stats:

54% (00:47) correct 46% (00:51) wrong based on 36 sessions

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A farmer has two rectangular fields. The larger field has twice the length and 4 times the width of the smaller field. If the smaller field has area K, then the area of the larger field is greater than the area of the smaller field by what amount?

(A) 2K

(B) 6K

(C) 7K

(D) 8K

(E) 12K

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Re: A farmer has two rectangular fields. The larger field has twice the le  [#permalink]

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26 Aug 2018, 23:38
Bunuel wrote:
A farmer has two rectangular fields. The larger field has twice the length and 4 times the width of the smaller field. If the smaller field has area K, then the area of the larger field is greater than the area of the smaller field by what amount?

(A) 2K

(B) 6K

(C) 7K

(D) 8K

(E) 12K

Area of larger field=L*W=2l*4w=8*(l*w)=8K (Where l and w are the length and width of the smaller rectangular field respectively. K=l*w is its area.)

Or, Area of larger field=K+7K=Area of smaller field+7K

Ans. (C)
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Re: A farmer has two rectangular fields. The larger field has twice the le  [#permalink]

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27 Aug 2018, 07:34
Bunuel wrote:
A farmer has two rectangular fields. The larger field has twice the length and 4 times the width of the smaller field. If the smaller field has area K, then the area of the larger field is greater than the area of the smaller field by what amount?

(A) 2K

(B) 6K

(C) 7K

(D) 8K

(E) 12K

Plug in and solve -

Smaller field

Length = 2
Width = 3
Area = 6 = k

Larger field

Length = 4
Width = 12
Area = 48 = 8k

So, the area of the larger field is greater than the area of the smaller field by : 8k - k = 7K, Answer must be (C)
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Abhishek....

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Re: A farmer has two rectangular fields. The larger field has twice the le   [#permalink] 27 Aug 2018, 07:34
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