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# What is the length of diagonal d in the rectangle above?

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Math Expert
Joined: 02 Sep 2009
Posts: 52971
What is the length of diagonal d in the rectangle above?  [#permalink]

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24 Dec 2017, 00:26
00:00

Difficulty:

25% (medium)

Question Stats:

83% (00:53) correct 17% (00:51) wrong based on 33 sessions

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What is the length of diagonal d in the rectangle above?

(1) l^2 + w^2 = 13
(2) l + w = 5

Attachment:

2017-12-24_1225.png [ 2.22 KiB | Viewed 536 times ]

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Re: What is the length of diagonal d in the rectangle above?  [#permalink]

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24 Dec 2017, 00:29
Imo A
st1: a^2+b^2=c^2
Sufficient

St2: l=4 w=1
Or l=3 w=2

Not sufficient

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Re: What is the length of diagonal d in the rectangle above?  [#permalink]

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24 Dec 2017, 09:16
Bunuel wrote:

What is the length of diagonal d in the rectangle above?

(1) l^2 + w^2 = 13
(2) l + w = 5

Attachment:
2017-12-24_1225.png

Diagonal of a Rectangle is the square root of d from: $$d^2=l^2+w^2$$

(1) l^2 + w^2 = 13; $$d^2=l^2+w^2=13; d=\sqrt{13}$$, sufficient.

(2) l + w = 5;

If $$l=3$$ or $$w=2$$, $$d^2=l^2+w^2$$; $$d^2=3^2+2^2=9+4=13$$ then $$d=\sqrt{13}$$;
If $$l=1$$ or $$w=4$$, $$d^2=l^2+w^2$$; $$d^2=1^2+4^2=1+16=17$$ then $$d=\sqrt{17}$$;
Since $$d$$ can be more than one value, its insufficient.

Re: What is the length of diagonal d in the rectangle above?   [#permalink] 24 Dec 2017, 09:16
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