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Uwe wants to split his rhombus-shaped garden into two triang
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10 Aug 2020, 10:52
10 Aug 2020, 10:52
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Question Stats:
53% (02:00) correct
46% (01:42) wrong based on 63 sessions
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Uwe wants to split his rhombus-shaped garden into two triangular plots, one for planting strawberries and one for planting vegetables, by erecting a fence from one corner of the garden to the opposite corner. If one angle of the garden measures 60 degrees and one side of the garden measures x meters, which of the following could be the area of the vegetable plot?
Indicate all such values.
A. \(\frac{x^2 \sqrt{3}}{2}\)
B. \(\frac{x^2 \sqrt{3}}{4}\)
C. \(\frac{x^2 \sqrt{3}}{8}\)
D. \(\frac{x^2}{4}\)
E. \(\frac{x^2}{2 }\)
Indicate all such values.
A. \(\frac{x^2 \sqrt{3}}{2}\)
B. \(\frac{x^2 \sqrt{3}}{4}\)
C. \(\frac{x^2 \sqrt{3}}{8}\)
D. \(\frac{x^2}{4}\)
E. \(\frac{x^2}{2 }\)
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Joined: 20 Jun 2019
Posts: 181
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GRE 1: Q160 V161
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Re: Uwe wants to split his rhombus-shaped garden into two triang
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21 Aug 2020, 22:35
21 Aug 2020, 22:35
Can someone please explain this?
Re: Uwe wants to split his rhombus-shaped garden into two triang
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22 Aug 2020, 02:46
22 Aug 2020, 02:46
1
Expert Reply
You can split the rhombus this way
screenshot.34.png [ 6.09 KiB | Viewed 3870 times ]
Or this way
screenshot.35.png [ 7.02 KiB | Viewed 3855 times ]
screenshot.36.png [ 8.34 KiB | Viewed 3841 times ]
However, in BOTH scenarios the two triangles are congruent so the areas are equal
screenshot.37.png [ 6.76 KiB | Viewed 3845 times ]
The answer is B
Attachment:
screenshot.34.png [ 6.09 KiB | Viewed 3870 times ]
Or this way
Attachment:
screenshot.35.png [ 7.02 KiB | Viewed 3855 times ]
Attachment:
screenshot.36.png [ 8.34 KiB | Viewed 3841 times ]
However, in BOTH scenarios the two triangles are congruent so the areas are equal
Attachment:
screenshot.37.png [ 6.76 KiB | Viewed 3845 times ]
The answer is B
