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Two identical square paintings are pasted on a rectangular wooden disp

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Intern
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Joined: 15 Nov 2018
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Location: United States
Concentration: Finance, Entrepreneurship
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Two identical square paintings are pasted on a rectangular wooden disp  [#permalink]

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New post 14 Jan 2019, 11:13
2
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

68% (02:45) correct 32% (02:59) wrong based on 19 sessions

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Two identical square paintings are pasted on a rectangular wooden display board such that the edges of each painting are parallel to the corresponding edges of the display board and the two paintings are symmetrical about an imaginary line passing through the middle of the display board. The margins between the paintings and between the paintings and the board are as shown in the figure above. If the area of the display board is 66 square units, what is the area of each square painting?

A) 4 square units

B) 7.5 square units

C) 8 square units

D) 16 square units

E) 25 square units
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Re: Two identical square paintings are pasted on a rectangular wooden disp  [#permalink]

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New post 14 Jan 2019, 16:47
let the side of the square = x

Area of rectangle = length * width = \((2x+3)(x+2) = 66\)
\(2x^2 + 7x + 6 = 66\)
\(2x^2 + 7x -60 = 0\)
\((2x + 15)(x - 4) = 0\)
\(x = 4\)

area of each square = \(4^2 = 16\)

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Re: Two identical square paintings are pasted on a rectangular wooden disp   [#permalink] 14 Jan 2019, 16:47
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Two identical square paintings are pasted on a rectangular wooden disp

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