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Quadrilateral RSTU shown above is a site plan for a parking

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Quadrilateral RSTU shown above is a site plan for a parking [#permalink] New post 14 Dec 2012, 07:53
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  25% (low)

Question Stats:

70% (01:56) correct 29% (00:57) wrong based on 93 sessions
Attachment:
lot.png
lot.png [ 7.64 KiB | Viewed 1792 times ]
Quadrilateral RSTU shown above is a site plan for a parking lot in which side RU is parallel to side ST and RU is longer than ST. What is the area of the parking lot?

(1) RU = 80 meters
(2) TU = 20\sqrt{10} meters
[Reveal] Spoiler: OA
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Re: Quadrilateral RSTU shown above is a site plan for a parking [#permalink] New post 14 Dec 2012, 08:02
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Quadrilateral RSTU shown above is a site plan for a parking lot in which side RU is parallel to side ST and RU is longer than ST. What is the area of the parking lot?

Given figure is a trapezoid, thus its area is SW*(ST+RU)/2=60*(45+RU)/2. So, all we need to know to answer the question is the length of RU.

(1) RU = 80 meters. Sufficient.
(2) TU = 20\sqrt{10} meters. Draw altitude from vertex T to RU as shown below:
Attachment:
trapezoid.png
trapezoid.png [ 12.4 KiB | Viewed 1630 times ]
Since TX=SW=60 and TU = 20\sqrt{10}, then we can find XU. Therefore we can find RU=RW+WX+XU. Sufficient.

Answer: D.
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Re: Quadrilateral RSTU shown above is a site plan for a parking   [#permalink] 14 Dec 2012, 08:02
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