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03 Apr 2020, 04:26
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C
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Difficulty:
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85% (02:04) correct
15%
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wrong
based on 52
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In the above diagram, ∠QPT = ∠RST = 30°. If the area of ∆PTS = √12, what is the area of square PQRS?
A) 3√3
B) 6
C) 8
D) 6√2
E) 4√3
03 Apr 2020, 16:36
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∠TPS = ∠TSP = 90-30=60
PTS is an equilateral triangle. Assume PS= 'a'
\(\frac{\sqrt{3}}{4} *a^2 =√12 = 2√3\)
\(a^2 = 8\)
In the above diagram, ∠QPT = ∠RST = 30°. If the area of ∆PTS = √12, what is the area of square PQRS?
A) 3√3
B) 6
C) 8
D) 6√2
E) 4√3
PTS is an equilateral triangle. Assume PS= 'a'
\(\frac{\sqrt{3}}{4} *a^2 =√12 = 2√3\)
\(a^2 = 8\)
GMATPrepNow
In the above diagram, ∠QPT = ∠RST = 30°. If the area of ∆PTS = √12, what is the area of square PQRS?
A) 3√3
B) 6
C) 8
D) 6√2
E) 4√3
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lcjgngY.png [ 17.73 KiB | Viewed 1966 times ]
03 Apr 2020, 16:45
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∠QPT = ∠RST = 30°.
∠TPS = ∠TSP = 90°-30°=60°
so,PTS is an equilateral triangle.
let, the side of the triangle = x
therefore, √3/4 *x^2 = √12
or, x^2= 8
therefore, area of the square is 8
correct answer is C
∠TPS = ∠TSP = 90°-30°=60°
so,PTS is an equilateral triangle.
let, the side of the triangle = x
therefore, √3/4 *x^2 = √12
or, x^2= 8
therefore, area of the square is 8
correct answer is C
