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A farmer has two rectangular fields. The larger field has tw

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A farmer has two rectangular fields. The larger field has tw [#permalink] New post 26 Aug 2018, 04:43
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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
[Reveal] Spoiler: OA

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Re: A farmer has two rectangular fields. The larger field has tw [#permalink] New post 26 Aug 2018, 05:52
Carcass 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


Let the length of the samller field = L

width of the smaller field = W

So the area of the smaller field = WL = K

Now the length of the bigger field = 2L

Width of the bigger field = 4W

So the Area = 4W * 2L = 8WL = 8K

Therefore the area of the larger field is greater than the area of the smaller field = 8K - K = 7K
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Re: A farmer has two rectangular fields. The larger field has tw   [#permalink] 26 Aug 2018, 05:52
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A farmer has two rectangular fields. The larger field has tw

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