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What is the perimeter of the figure above?
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08 Jun 2023, 09:27
08 Jun 2023, 09:27
Expert Reply
00:00
Question Stats:
86% (00:38) correct
13% (00:30) wrong based on 15 sessions
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What is the perimeter of the figure above?
A. 51
B. 64
C. 68
D. 77
E. 91
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Re: What is the perimeter of the figure above?
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10 Jun 2023, 04:00
10 Jun 2023, 04:00
Expert Reply
OE
Redraw the figure. The perimeter is the sum of all sides of the figure. This is a pentagon with three right angles, which means that the figure is the combining of a right triangle and a rectangle, as shown by the dotted line in the figure below. The unknown side of the figure is equal to the hypotenuse of the right triangle. The right triangle has legs of 5 and 12, which means the hypotenuse is equal to \(\sqrt{5^2+12^2}\). Add all the sides to get 17 + 5 + 12 + 17 + 13 = 64. The correct answer is (B).
Redraw the figure. The perimeter is the sum of all sides of the figure. This is a pentagon with three right angles, which means that the figure is the combining of a right triangle and a rectangle, as shown by the dotted line in the figure below. The unknown side of the figure is equal to the hypotenuse of the right triangle. The right triangle has legs of 5 and 12, which means the hypotenuse is equal to \(\sqrt{5^2+12^2}\). Add all the sides to get 17 + 5 + 12 + 17 + 13 = 64. The correct answer is (B).
Re: What is the perimeter of the figure above?
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19 Jul 2023, 12:10
19 Jul 2023, 12:10
1
90 degree and both the sides having same length indicates that if we draw a line to make the upper figure into a triangle, then its base and the base of the 2nd figure would be parallel and in fact be equal making it a rectangle. Using pythagoras theorem, we can get the side as 13. therefore 5 + 12 + 17 + 13 +17 = 64.
