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

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Math Expert
Joined: 02 Sep 2009
Posts: 43892
If 5 percent of a rectangular lot is covered by a rectangular shed [#permalink]

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20 Sep 2017, 01:01
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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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Joined: 02 Jul 2017
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Re: If 5 percent of a rectangular lot is covered by a rectangular shed [#permalink]

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20 Sep 2017, 02:07
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

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Joined: 22 May 2016
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If 5 percent of a rectangular lot is covered by a rectangular shed [#permalink]

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20 Sep 2017, 04:50
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

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

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25 Sep 2017, 17:04
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

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Re: If 5 percent of a rectangular lot is covered by a rectangular shed   [#permalink] 25 Sep 2017, 17:04
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