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555-605 (Medium)|   Geometry|      
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Bunuel
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A square picture frame has an outer perimeter of 36 inches and is 1 in 23 Nov 2015, 12:32
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C
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25% (medium)

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71% (01:05) correct 29% (01:03) wrong based on 175 sessions

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A square picture frame has an outer perimeter of 36 inches and is 1 inch wide on all sides. What is the inner perimeter of the frame, in inches?

(A) 27
(B) 27.5
(C) 28
(D) 31.5
(E) 32
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C
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A square picture frame has an outer perimeter of 36 inches and is 1 in 23 Nov 2015, 12:46
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Bunuel
A square picture frame has an outer perimeter of 36 inches and is 1 inch wide on all sides. What is the inner perimeter of the frame, in inches?

(A) 27
(B) 27.5
(C) 28
(D) 31.5
(E) 32
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If the outer perimeter is 36 inches, then each outer side of the SQUARE frame is 9 inches (since 9 + 9 + 9 + 9 = 36)
The inner side of the frame will be 2 inches shorter on each side, since we lose 1 inch on both sides.
So, each inner side of the frame will have a length of 7 inches
So, the inner perimeter of the frame = 7 + 7 + 7 + 7 = 28 = C

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A square picture frame has an outer perimeter of 36 inches and is 1 in 24 Nov 2015, 12:28
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Perimeter of outer square = sum of all sides = 36
all sides of square are equal, hence side of outer square = 36/4 = 9

Inner square has a distance of 1 both on left and on right, so side of inner square is = 9-1-1 = 7
Perimeter of Inner square = sum of all sides = 7+7+7+7 = 28.
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A square picture frame has an outer perimeter of 36 inches and is 1 in 24 Nov 2015, 12:37
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Bunuel
A square picture frame has an outer perimeter of 36 inches and is 1 inch wide on all sides. What is the inner perimeter of the frame, in inches?

(A) 27
(B) 27.5
(C) 28
(D) 31.5
(E) 32
Show more

From the figure below , sides of the inner sqaure is 7 inch

So, perimeter of the Inner square is 7*4 = 28 inches...


Answer is (C)
Attachments

Square.jpg
Square.jpg [ 15.6 KiB | Viewed 9422 times ]

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A square picture frame has an outer perimeter of 36 inches and is 1 in 26 Apr 2016, 03:55
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outer perimeter = 36 inches
outer side = 36/4 = 9 inches
subtracting 2 from 9 inches gives value of inner side
inner side = 7 inches
perimeter 4 * 7 = 28 inches
correct answer - C
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A square picture frame has an outer perimeter of 36 inches and is 1 in 04 Oct 2017, 14:45
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Bunuel
A square picture frame has an outer perimeter of 36 inches and is 1 inch wide on all sides. What is the inner perimeter of the frame, in inches?

(A) 27
(B) 27 1/2
(C) 28
(D) 31 1/2
(E) 32
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Perimeter of a square is 4s, outer perimeter = 36 inches, 4s = 36, each outer edge (side) is 36/4 = 9 inches.

The border is 1 inch wide on all sides. To find the inner perimeter of the frame, subtract two inches from each side of the outer perimeter.

Imagine a picture inside the frame that is centered (which is equivalent to the inner perimeter of a frame with a uniform border).

Between the picture and the outside perimeter of the frame, there is +1 inch above, below, to the left, and to the right of the picture. The length of the picture, e.g., has +1 on the left end and +1 on the right end.

So one side of the inner perimeter: (9 - 2) = 7 inches

There are four equal sides (the outside is a square, the border is uniform, therefore the inner perimeter is a square). P = 4s

The inner perimeter, then, in inches, is 4 * 7 = 28

Answer (C)
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A square picture frame has an outer perimeter of 36 inches and is 1 in 02 Sep 2023, 03:40
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