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

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

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New post 24 Dec 2017, 00:26
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A
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D
E

Difficulty:

  25% (medium)

Question Stats:

86% (00:51) correct 14% (00:58) wrong based on 31 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
2017-12-24_1225.png [ 2.22 KiB | Viewed 496 times ]

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

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New post 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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New post 24 Dec 2017, 09:16
Bunuel wrote:
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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


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.

(A) is the answer.
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Re: What is the length of diagonal d in the rectangle above? &nbs [#permalink] 24 Dec 2017, 09:16
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What is the length of diagonal d in the rectangle above?

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