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# Find the length of the rectangle?

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Senior Manager
Joined: 02 Jan 2017
Posts: 315
Find the length of the rectangle? [#permalink]

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14 Mar 2017, 07:55
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Difficulty:

15% (low)

Question Stats:

100% (00:18) correct 0% (00:00) wrong based on 27 sessions

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Find the length of the rectangle?

(1) The perimeter of the rectangle is 120

(2) The width of the rectangle is 20
[Reveal] Spoiler: OA
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4680
Find the length of the rectangle? [#permalink]

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14 Mar 2017, 11:21
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Expert's post
vikasp99 wrote:
Find the length of the rectangle?

(1) The perimeter of the rectangle is 120

(2) The width of the rectangle is 20

Dear vikasp99,

I'm happy to respond.

This question is is far too easy to be on the GMAT. This is a essentially a low-level practice questions, for people reviewing the basics before they are ready for GMAT math.

Perimeter of a rectangle = 2*L + 2*W

If we know both the perimeter and the width, we can calculate the length very easily.

OA = (C)

Here are some more GMAT-like DS practice questions on geometry:
GMAT Data Sufficiency Geometry Practice Questions

Does all this make sense?
Mike
_________________

Mike McGarry
Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4862
GPA: 3.82
Find the length of the rectangle? [#permalink]

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14 Mar 2017, 15:22
vikasp99 wrote:
Find the length of the rectangle?

(1) The perimeter of the rectangle is 120

(2) The width of the rectangle is 20

This question is about a length $$l$$ and a width $$w$$ from the below conditions.
There are two variables and no equation.
Hence C is most likely the correct answer.

The question is what is the value of $$l$$.

Condition 1) : $$2(l+w) = 120$$.
Condition 2) : $$w = 20$$

For the condition 1), it is clearly not sufficient, since we don't know anything about $$w$$. Hence, we can not get a value of $$l$$.

For the condition 2), the given equation does not any clue for the variable $$l$$.

For both the conditions 1) and 2) together, $$w = 20$$ and so $$2(l+w) = 2(l+20) = 2l + 40 = 120 or 2l = 80$$.
Hence, $$l = 40$$.
Therefore, both conditions together, they are sufficient.

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Senior Manager
Joined: 05 Jan 2017
Posts: 434
Location: India
Re: Find the length of the rectangle? [#permalink]

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15 Mar 2017, 01:42
the the length be l an width be b

St 1: 2(l+b) = 120. two variable, one equation. INSUFFICIENT
St 2: b = 20. No idea about l. INSUFFICIENT

St 1 & St 2: two variable, two equation. SUFFICIENT

Option C
Re: Find the length of the rectangle?   [#permalink] 15 Mar 2017, 01:42
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