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29 Sep 2024, 02:51
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Question Stats:
100% (00:52) correct
0% (00:00) wrong based on 5 sessions
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In the xy-plane, a quadrilateral has vertices at (-1, 4), (7, 4), (7, -5), and (-1, -5). What is the perimeter of the quadrilateral?
A. 17
B. 18
C. 19
D. 32
E. 34
A. 17
B. 18
C. 19
D. 32
E. 34
27 Oct 2024, 04:51
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OE
A sketch of the quadrilateral with vertices at (-1, 4), (7, 4), (7, -5), and (-1, -5) is shown in the xy-plane below.
From the fgure you can see that two of the sides of the quadrilateral are horizontal and two are vertical. Terefore the quadrilateral is a rectangle. Since the points (-1, -5) and (7, -5) are endpoints of one of the horizontal sides, the length of each horizontal side is 7 - (-1), or 8. Since the points (-1, 4) and (-1, -5) are endpoints of one of the vertical sides, the length of each vertical side is 4 - (-5), or 9. Terefore the perimeter of the rectangle is 2(8 + 9), or 34.
The correct answer is Choice E.
1.jpg [ 40.53 KiB | Viewed 398 times ]
A sketch of the quadrilateral with vertices at (-1, 4), (7, 4), (7, -5), and (-1, -5) is shown in the xy-plane below.
From the fgure you can see that two of the sides of the quadrilateral are horizontal and two are vertical. Terefore the quadrilateral is a rectangle. Since the points (-1, -5) and (7, -5) are endpoints of one of the horizontal sides, the length of each horizontal side is 7 - (-1), or 8. Since the points (-1, 4) and (-1, -5) are endpoints of one of the vertical sides, the length of each vertical side is 4 - (-5), or 9. Terefore the perimeter of the rectangle is 2(8 + 9), or 34.
The correct answer is Choice E.
Attachment:
1.jpg [ 40.53 KiB | Viewed 398 times ]
