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If 5 percent of a rectangular lot is covered by a rectangular shed

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If 5 percent of a rectangular lot is covered by a rectangular shed [#permalink]

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New post 20 Sep 2017, 02:01
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If 5 percent of a rectangular lot is covered by a rectangular shed that is 25 feet long and 24 feet wide, what is the area of the lot in square feet?

(A) 3,000
(B) 5,700
(C) 12,000
(D) 22,500
(E) 30,000
[Reveal] Spoiler: OA

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Kudos [?]: 128912 [0], given: 12183

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Re: If 5 percent of a rectangular lot is covered by a rectangular shed [#permalink]

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New post 20 Sep 2017, 03:07
If 5 percent of a rectangular lot is covered by a rectangular shed that is 25 feet long and 24 feet wide, what is the area of the lot in square feet?

Area of rectangular shed = 24* 25

Given Shed covers 5% of total lot => 5/100 * Area of total lot = area of shed
=> Area of total lot = 24*25 * (100/5) = 12000

Answer: C

Kudos [?]: 59 [0], given: 59

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If 5 percent of a rectangular lot is covered by a rectangular shed [#permalink]

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New post 20 Sep 2017, 05:50
Bunuel wrote:
If 5 percent of a rectangular lot is covered by a rectangular shed that is 25 feet long and 24 feet wide, what is the area of the lot in square feet?

(A) 3,000
(B) 5,700
(C) 12,000
(D) 22,500
(E) 30,000

Area of the shed:
24 ft * 25 ft = 600 sq ft
Shed's area is 5 percent of the lot

Area of lot L in square feet?

600 = .05L
\((\frac{100}{5})\) (600) = L
L = 12,000

Answer C

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Re: If 5 percent of a rectangular lot is covered by a rectangular shed [#permalink]

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New post 25 Sep 2017, 18:04
Bunuel wrote:
If 5 percent of a rectangular lot is covered by a rectangular shed that is 25 feet long and 24 feet wide, what is the area of the lot in square feet?

(A) 3,000
(B) 5,700
(C) 12,000
(D) 22,500
(E) 30,000


The area of the shed is 25 x 24 = 600; thus:

600 = 0.05(lot)

600/0.05 = lot

12,000 = lot

Answer: C
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Kudos [?]: 840 [0], given: 2

Re: If 5 percent of a rectangular lot is covered by a rectangular shed   [#permalink] 25 Sep 2017, 18:04
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