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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

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by Vincen » Tue Apr 28, 2020 8:13 am
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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

[spoiler]OA=C[/spoiler]

Source: Princeton Review
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Re: A square picture frame has an outer perimeter of 36 inches and is 1 inch wide on all sides. What is the inner perime

by Jay@ManhattanReview » Tue Apr 28, 2020 9:33 pm
Vincen wrote: ↑
Tue Apr 28, 2020 8:13 am
 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

[spoiler]OA=C[/spoiler]

Source: Princeton Review
Given that the square picture frame has an outer perimeter of 36 inches, the outer side = 36/4 = 9 inches

=> the inner side = 9 – 1*2 = 7

=> The inner perimeter of the frame = 7*4 = 28

The correct answer: C

Hope this helps!

-Jay
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Re: A square picture frame has an outer perimeter of 36 inches and is 1 inch wide on all sides. What is the inner perime

by Scott@TargetTestPrep » Fri May 01, 2020 3:19 am
Vincen wrote: ↑
Tue Apr 28, 2020 8:13 am
 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

[spoiler]OA=C[/spoiler]

Source: Princeton Review
We see that the outer edge of the frame has a length of 36/4 = 9 inches. Therefore, the inner edge of the frame has a length of 9 - 1 - 1 = 7 inches. So the inner perimeter of the frame is 7 x 4 = 28 inches.

Answer: C

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