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In the figure above, two rectangles with the same dimensions overlap t

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In the figure above, two rectangles with the same dimensions overlap t [#permalink] New post   24 Jul 2018, 00:11
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In the figure above, two rectangles with the same dimensions overlap to form the shaded region. If each rectangle has perimeter 12 and the shaded region has perimeter 3, what is the perimeter of the resulting figure?

(A) 15
(B) 18
(C) 21
(D) 22
(E) 23

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Re: In the figure above, two rectangles with the same dimensions overlap t [#permalink] New post   24 Jul 2018, 02:12
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Solution



Given:
    • Two rectangles are given with same dimensions
    • They overlap to form the shaded region (shown in the figure)
    • Each rectangle has perimeter 12
    • Shaded region has perimeter 3

To find:
    • Perimeter of the resulting figure

Approach and Working:
    • Perimeter of the resulting figure =
    Perimeter of rectangle 1 + perimeter of rectangle 2 – perimeter of the shaded region
    = 12 + 12 – 3 = 21

Hence, the correct answer is option C.

Answer: C
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Re: In the figure above, two rectangles with the same dimensions overlap t [#permalink] New post   24 Jul 2018, 02:31
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Permieter of resulting shape : Sum of Perimeter of 2 Rectangles - Perimeter of Triangle
:\(2*12-3 =24-3=21\)
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Re: In the figure above, two rectangles with the same dimensions overlap t [#permalink] New post   28 Aug 2021, 05:28
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Since, we can notice an overlap,
Perimeter of the shaded region =Perimeter of rectangle 1 + perimeter of rectangle 2 – Perimeter of the shaded region
= 12 + 12 – 3
= 21
(option c)

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Re: In the figure above, two rectangles with the same dimensions overlap t [#permalink] New post   19 Feb 2024, 06:33
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Re: In the figure above, two rectangles with the same dimensions overlap t [#permalink]
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