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Sub 505 (Easy)|   Geometry|      
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Bunuel
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What is the perimeter of the rectangle shown above? 03 Jun 2018, 12:32
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

85% (00:28) correct 15% (00:36) wrong based on 55 sessions

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What is the perimeter of the rectangle shown above?

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

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Attachment:
rectangle..jpg
rectangle..jpg [ 7.91 KiB | Viewed 3622 times ]
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C
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What is the perimeter of the rectangle shown above? 03 Jun 2018, 14:04
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Bunuel


What is the perimeter of the rectangle shown above?

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

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Attachment:
rectangle..jpg
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Rectangles have opposite sides of equal length. Therefore the diagonal divides this rectangle into two right triangles with a height of 6 and a hypotenuse of 10. This is just a variation of a 3-4-5 triangle except with all the sides doubled ---> 6-8-10. Therefore the remaining sides of the rectangle have a length of 8 to give a perimeter of 2*6 + 8*2 = 12 + 16 = 28

Answer: C
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What is the perimeter of the rectangle shown above? 03 Jun 2018, 23:48
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Bunuel


What is the perimeter of the rectangle shown above?

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

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Attachment:
rectangle..jpg
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C - 28 is the answer.
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What is the perimeter of the rectangle shown above? 04 Jun 2018, 01:30
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Bunuel


What is the perimeter of the rectangle shown above?

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

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Attachment:
rectangle..jpg
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The length, breadth(6 unit), and diagonal(10 unit) of the given rectangle form two right angled triangles.

So, length=\(\sqrt(10^2-6^2)\)=8 unit (Applying Pythagoras property in any one of the triangles)

Now, perimeter of rectangle= 2(length+breadth)=2(8+6)=2*14=28 unit

Therefore, correct answer choice is (C).
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What is the perimeter of the rectangle shown above? 04 Jun 2018, 16:11
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Bunuel


What is the perimeter of the rectangle shown above?

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

Show Spoiler
Attachment:
rectangle..jpg
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Use Pythagorean theorem to find base

10^2 = 6^2 + b^2
100 = 36 + b^2
64 = b^2
b = 8

Perimeter = 8+8+6+6 = 28

Ans = C
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What is the perimeter of the rectangle shown above? 05 Jun 2018, 10:34
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Bunuel


What is the perimeter of the rectangle shown above?

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

Show Spoiler
Attachment:
rectangle..jpg
Show more

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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What is the perimeter of the rectangle shown above? 16 Nov 2024, 16:17
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