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What is the perimeter of the rectangle shown above? (A) 14 (

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What is the perimeter of the rectangle shown above? (A) 14 ( [#permalink] New post 19 Mar 2018, 16:41
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Attachment:
rectangle..jpg
rectangle..jpg [ 7.91 KiB | Viewed 580 times ]


What is the perimeter of the rectangle shown above?

(A) 14
(B) 24
(C) 28
(D) 38
(E) 48
[Reveal] Spoiler: OA

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Re: What is the perimeter of the rectangle shown above? (A) 14 ( [#permalink] New post 02 Apr 2018, 18:06
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It's basically mandatory to memorize the three most common special triangles: the 3-4-5 triangle, the 30-60-90 triangle, and the right isosceles. They appear constantly. Sometimes they appear in my sleep. Anyway, we recognize that the upper triangle in the given rectangle is a 3-4-5 triangle that's been expanded by a factor of 2 to get a 6-8-10 triangle. (We know it's a right triangle because a rectangle must have right angles at its corners.) The missing side on the top of the rectangle must therefore be 8. Since we know that halfway around the rectangle is 6 + 8, giving us 14, the full perimeter must be 14x2, or 28, giving us answer choice C.
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Re: What is the perimeter of the rectangle shown above? (A) 14 ( [#permalink] New post 05 Jun 2018, 09:13
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Carcass wrote:
Attachment:
rectangle..jpg


What is the perimeter of the rectangle shown above?

(A) 14
(B) 24
(C) 28
(D) 38
(E) 48


We see that we have a 6-8-10 right triangle, so the length of the rectangle must be 8.

Thus, the perimeter is 6 x 2 + 8 x 2 = 12 + 16 = 28.

Answer: C
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Re: What is the perimeter of the rectangle shown above? (A) 14 (   [#permalink] 05 Jun 2018, 09:13
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