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In a rectangular coordinate system, what is the area of a quadrilatera
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08 Jul 2015, 02:37
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In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (2,2), (2, 6), (15, 2), (15,4)? A. 91 B. 95 C. 104 D. 117 E. 182 Kudos for a correct solution.
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In a rectangular coordinate system, what is the area of a quadrilatera
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Updated on: 10 Jul 2015, 05:02
Bunuel wrote: In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (2,2), (2, 6), (15, 2), (15,4)?
A. 91 B. 95 C. 104 D. 117 E. 182
Kudos for a correct solution. Answer: Option A Hint: Draw the figure and then judge the figure
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Originally posted by GMATinsight on 08 Jul 2015, 03:05.
Last edited by GMATinsight on 10 Jul 2015, 05:02, edited 1 time in total.



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Re: In a rectangular coordinate system, what is the area of a quadrilatera
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10 Jul 2015, 04:54
GMATinsightYour answer says option B as the answer, must be a typo. just letting you know.



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Re: In a rectangular coordinate system, what is the area of a quadrilatera
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10 Jul 2015, 05:02
Swaroopdev wrote: GMATinsightYour answer says option B as the answer, must be a typo. just letting you know. Thank you. Have made correction...
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Re: In a rectangular coordinate system, what is the area of a quadrilatera
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10 Jul 2015, 06:56
Bunuel wrote: In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (2,2), (2, 6), (15, 2), (15,4)?
A. 91 B. 95 C. 104 D. 117 E. 182
Kudos for a correct solution. looking at the coord, one can see that the quad has only two sides parallel , so its a trapezium... the two parallel sides are (6+2)and (2+4).. the distance between the two llel lines is 152=13.. area of trap=(8+6)*13/2=91 ans A
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Re: In a rectangular coordinate system, what is the area of a quadrilatera
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13 Jul 2015, 01:39
Bunuel wrote: In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (2,2), (2, 6), (15, 2), (15,4)?
A. 91 B. 95 C. 104 D. 117 E. 182
Kudos for a correct solution. 800score Official Solution:First, we should make a rough sketch of the figure to determine its general shape. Its left side and right side are parallel, with the left side having a length of 8 and the right side having a length of 6. The distance between these two sides is 13.This figure is a trapezoid. A trapezoid is any quadrilateral that has one set of parallel sides, and the formula for the area of a trapezoid is: Area = (1/2) × (Base 1 + Base 2) × (Height), where the bases are the parallel sides. We can now determine the area of the quadrilateral: Area = 1/2 × (8 + 6) × 13 = 1/2 × 14 × 13 = 7 × 13 = 91. The correct answer is choice (A). Alternate Method (Breaking the figure apart): Without the formula for the area of a trapezoid, we can still solve the problem. We can draw two horizontal lines through the figure, one at y = 2 and one at y = 2 to divide the trapezoid into an upper triangle, a rectangle, and a lower triangle. The upper triangle has an area of (1/2) × 4 × 13 = 26. The rectangle has an area of 4 × 13 = 52. The lower triangle has an area of 1/2 × 2 × 13 = 13. Adding these areas, we get the area for the quadrilateral: 52 + 26 + 13 = 91. Again, we see that the correct answer is choice (A).
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Re: In a rectangular coordinate system, what is the area of a quadrilatera
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30 Apr 2018, 11:54
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Re: In a rectangular coordinate system, what is the area of a quadrilatera &nbs
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