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# Two identical square paintings are pasted on a rectangular wooden disp

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Intern
Joined: 15 Nov 2018
Posts: 21
Location: United States
Concentration: Finance, Entrepreneurship
GPA: 3.76
Two identical square paintings are pasted on a rectangular wooden disp  [#permalink]

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14 Jan 2019, 11:13
2
00:00

Difficulty:

45% (medium)

Question Stats:

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

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Attachment:

QS495.png [ 19.31 KiB | Viewed 329 times ]

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
Director
Status: Manager
Joined: 27 Oct 2018
Posts: 681
Location: Egypt
GPA: 3.67
WE: Pharmaceuticals (Health Care)
Re: Two identical square paintings are pasted on a rectangular wooden disp  [#permalink]

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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 = $$4^2 = 16$$

"D"
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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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