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The shaded portion of the rectangular lot shown above repres

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The shaded portion of the rectangular lot shown above repres [#permalink] New post 19 Dec 2012, 06:28
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91% (02:46) correct 8% (01:16) wrong based on 7 sessions
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The shaded portion of the rectangular lot shown above represents a flower bed. If the area of the bed is 24 square yards and x = y + 2, then z equals

(A) \sqrt{13}
(B) 2\sqrt{13}
(C) 6
(D) 8
(E) 10
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Re: The shaded portion of the rectangular lot shown above repres [#permalink] New post 19 Dec 2012, 06:34
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The shaded portion of the rectangular lot shown above represents a flower bed. If the area of the bed is 24 square yards and x = y + 2, then z equals

(A) \sqrt{13}
(B) 2\sqrt{13}
(C) 6
(D) 8
(E) 10

Given that \frac{xy}{2}=24 and x = y + 2 --> xy=48 --> (y+2)y=48.

z^2=x^2+y^2 --> z^2=(y + 2)^2+y^2=2y^2+4y+4=2y(y+2)+4.

Since (y+2)y=48, then z^2=2y(y+2)+4=2*48+4=100 --> z=10.

Answer: E.
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Re: The shaded portion of the rectangular lot shown above repres   [#permalink] 19 Dec 2012, 06:34
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