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# The width of a rectangle w is twice the length of the rectangle. Which

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Math Expert
Joined: 02 Sep 2009
Posts: 51035
The width of a rectangle w is twice the length of the rectangle. Which  [#permalink]

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19 Aug 2018, 08:31
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Difficulty:

35% (medium)

Question Stats:

59% (00:31) correct 41% (01:14) wrong based on 22 sessions

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The width of a rectangle w is twice the length of the rectangle. Which of the following equals the area of the rectangle in terms of w?

(A) $$w$$

(B) $$2w^2$$

(C) $$3w^2$$

(D) $$\frac{w^2}{2}$$

(E) $$\frac{w^2}{4}$$

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Joined: 20 Feb 2015
Posts: 796
Concentration: Strategy, General Management
Re: The width of a rectangle w is twice the length of the rectangle. Which  [#permalink]

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19 Aug 2018, 08:37
Bunuel wrote:
The width of a rectangle w is twice the length of the rectangle. Which of the following equals the area of the rectangle in terms of w?

(A) $$w$$

(B) $$2w^2$$

(C) $$3w^2$$

(D) $$\frac{w^2}{2}$$

(E) $$\frac{w^2}{4}$$

w=2l
area=lw
area=w^2/2
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: The width of a rectangle w is twice the length of the rectangle. Which  [#permalink]

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19 Aug 2018, 08:39
Bunuel wrote:
The width of a rectangle w is twice the length of the rectangle. Which of the following equals the area of the rectangle in terms of w?

(A) $$w$$

(B) $$2w^2$$

(C) $$3w^2$$

(D) $$\frac{w^2}{2}$$

(E) $$\frac{w^2}{4}$$

Given, w=2l or, l=w/2

Area of rectangle=l*w=(w/2)*w=$$\frac{w^2}{2}$$

Ans. (D)
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PKN

Rise above the storm, you will find the sunshine

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Joined: 24 Aug 2016
Posts: 565
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16
Re: The width of a rectangle w is twice the length of the rectangle. Which  [#permalink]

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19 Aug 2018, 09:01
Bunuel wrote:
The width of a rectangle w is twice the length of the rectangle. Which of the following equals the area of the rectangle in terms of w?

(A) $$w$$

(B) $$2w^2$$

(C) $$3w^2$$

(D) $$\frac{w^2}{2}$$

(E) $$\frac{w^2}{4}$$

Given , width = $$w$$ & length is half of width . Hence length is = $$\frac{w}{2}$$
Hence area = $$w$$ *$$\frac{w}{2}$$ =$$\frac{w^2}{2}$$ Ans D
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Please let me know if I am going in wrong direction.
Thanks in appreciation.

Re: The width of a rectangle w is twice the length of the rectangle. Which &nbs [#permalink] 19 Aug 2018, 09:01
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