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What is the perimeter of the figure above?

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Bunuel
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What is the perimeter of the figure above? [#permalink] New post   13 Mar 2019, 01:22
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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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c11c_r101.png
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B
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What is the perimeter of the figure above? [#permalink] New post   13 Mar 2019, 01:43


Since the part on top is a right angled triangle and two of the three sides are 5 and 12,
the third side(Hypotenuse) must be 13 because 5-12-13 is a Pythagorean triplet.

The part on top is a rectangle which will have equal measure for opposite sides.

We are asked for the perimeter of the figure above which is 5+12+(13)+17+17 = 64(Option B)
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Re: What is the perimeter of the figure above? [#permalink] New post   13 Mar 2019, 03:42
triangle 3rd side = 13
so perimeter
17+17+5+12 +13= 64
IMO B


Bunuel wrote:

What is the perimeter of the figure above?

A. 51
B. 64
C. 68
D. 77
E. 91


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Attachment:
c11c_r101.png
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Re: What is the perimeter of the figure above? [#permalink] New post   13 Mar 2019, 05:21
The base of the right triangle will be 13 so the perimeter for the triangle will be 5+12+13=30.

Now for the rectangle, we have a 17*13 rectangle, so sum is 17+17+13+13=60.

However, we have considered the side with measure 13 two times so finally it becomes 60+30-13= 77

Ans: D
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Re: What is the perimeter of the figure above? [#permalink] New post   13 Mar 2019, 05:26
IMO B 64

perimeter = 5+12+17+17+13


13 we get by applying pythagoras theoram in the given triangle

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Re: What is the perimeter of the figure above? [#permalink] New post   15 Mar 2019, 06:58
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Bunuel wrote:

What is the perimeter of the figure above?

A. 51
B. 64
C. 68
D. 77
E. 91


Show Spoiler
Attachment:
c11c_r101.png


We see that the right triangle is a 5-12-13 right triangle, so the perimeter of the entire figure is:

17 + 5 + 12 + 17 + 13 = 64

Answer: B
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Re: What is the perimeter of the figure above? [#permalink]
15 Mar 2019, 06:58
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