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# The floor of a company's storage room has an area of 20,000 square fee

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Math Expert
Joined: 02 Sep 2009
Posts: 43917
The floor of a company's storage room has an area of 20,000 square fee [#permalink]

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20 Sep 2017, 21:56
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The floor of a company's storage room has an area of 20,000 square feet. If the floor is in the shape of a square, approximately how many feet long is each side?

(A) 140
(B) 450
(C) 500
(D) 1,000
(E) 5,000
[Reveal] Spoiler: OA

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Re: The floor of a company's storage room has an area of 20,000 square fee [#permalink]

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20 Sep 2017, 23:58
If the area of the square floor is 20000 sq ft,
the side of the floor must be $$\sqrt{20000}$$ = 141.4 ft

Hence, the side of the floor is approximately 140 feet (Option A)
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The floor of a company's storage room has an area of 20,000 square fee [#permalink]

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21 Sep 2017, 09:23
Bunuel wrote:
The floor of a company's storage room has an area of 20,000 square feet. If the floor is in the shape of a square, approximately how many feet long is each side?

(A) 140
(B) 450
(C) 500
(D) 1,000
(E) 5,000

Area of square = $$Side^2$$ = 20,000
Side = $$\sqrt{20000}$$ = Approx 141
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The floor of a company's storage room has an area of 20,000 square fee [#permalink]

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21 Sep 2017, 16:45
Bunuel wrote:
The floor of a company's storage room has an area of 20,000 square feet. If the floor is in the shape of a square, approximately how many feet long is each side?

(A) 140
(B) 450
(C) 500
(D) 1,000
(E) 5,000

Let a side of square-shaped floor = $$s$$

$$s^2 = 20,000$$

$$\sqrt{s^{2}} = \sqrt{20,000}$$

$$s = \sqrt{10,000*2}$$

$$s = 100\sqrt{2}$$ , and $$\sqrt{2}$$ approx = $$1.4$$

$$s = (100)(1.4)$$

$$s = 140$$

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Re: The floor of a company's storage room has an area of 20,000 square fee [#permalink]

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25 Sep 2017, 15:36
Bunuel wrote:
The floor of a company's storage room has an area of 20,000 square feet. If the floor is in the shape of a square, approximately how many feet long is each side?

(A) 140
(B) 450
(C) 500
(D) 1,000
(E) 5,000

Since area of a square = side^2, we have:

20,000 = side^2

√20,000 = side

We see that the length of each side of the square is √20,000 = √10,000 x √2 ≈ 100 x 1.4 = 140.

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Re: The floor of a company's storage room has an area of 20,000 square fee   [#permalink] 25 Sep 2017, 15:36
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# The floor of a company's storage room has an area of 20,000 square fee

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