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# A land developer has two rectangular plots of land waiting to be devel

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Math Expert
Joined: 02 Sep 2009
Posts: 53061
A land developer has two rectangular plots of land waiting to be devel  [#permalink]

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31 Jan 2019, 21:17
00:00

Difficulty:

45% (medium)

Question Stats:

39% (00:46) correct 61% (01:04) wrong based on 23 sessions

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A land developer has two rectangular plots of land waiting to be developed. The larger plot of land has four times the length and twice the width of the smaller plot. If the smaller plot has area S, then the area of the larger plot is greater than the area of the smaller plot by what amount?

A) 2s

B) 7s

C) 8s

D) 10s

E) 16s

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Re: A land developer has two rectangular plots of land waiting to be devel  [#permalink]

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31 Jan 2019, 22:55
Bunuel wrote:
A land developer has two rectangular plots of land waiting to be developed. The larger plot of land has four times the length and twice the width of the smaller plot. If the smaller plot has area S, then the area of the larger plot is greater than the area of the smaller plot by what amount?

A) 2s

B) 7s

C) 8s

D) 10s

E) 16s

Smaller plot's, Length = l and width = w

Larger Plot's, Length = 4*l and width = 2*w

Area of smaller plot = l*w = S

Area of larger plot = 4l*2w = 8*l*w = 8S

The amount that larger plot's area is greater than the smaller plot's area = 8S - S = 7S

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Re: A land developer has two rectangular plots of land waiting to be devel  [#permalink]

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01 Feb 2019, 10:00
Bunuel wrote:
A land developer has two rectangular plots of land waiting to be developed. The larger plot of land has four times the length and twice the width of the smaller plot. If the smaller plot has area S, then the area of the larger plot is greater than the area of the smaller plot by what amount?

A) 2s

B) 7s

C) 8s

D) 10s

E) 16s

s=l*b
and
larger l= 4l & w= 2b
so 4*2*l*b-l*b
s(8-1)
7s
IMO B
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Re: A land developer has two rectangular plots of land waiting to be devel   [#permalink] 01 Feb 2019, 10:00
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