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The area of the trapezoid
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01 Mar 2024, 01:48
01 Mar 2024, 01:48
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Question Stats:
94% (01:11) correct
5% (00:40) wrong based on 18 sessions
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The area of the trapezoid is twice that of the rectangle
GRE trapezoid.jpg [ 9.08 KiB | Viewed 1901 times ]
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Attachment:
GRE trapezoid.jpg [ 9.08 KiB | Viewed 1901 times ]
Quantity A |
Quantity B |
x |
2 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Re: The area of the trapezoid
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01 Mar 2024, 14:35
01 Mar 2024, 14:35
1
The area of a trapezoid = 1/2 * (top base + bottom base) *(height)
= \(1/2 * (6+2) * 3 = 12\)
The area of the rectangle
= \(2x * 3x = 6x^2\)
Since the area of the trapezoid is twice that of the rectangle,
\(2 * 6x^2 = 12\)
\(12x^2 = 12\)
\(x^2 = 1\)
\(x = 1\) (It wouldn't be -1 since the sides wouldn't be negative.)
= \(1/2 * (6+2) * 3 = 12\)
The area of the rectangle
= \(2x * 3x = 6x^2\)
Since the area of the trapezoid is twice that of the rectangle,
\(2 * 6x^2 = 12\)
\(12x^2 = 12\)
\(x^2 = 1\)
\(x = 1\) (It wouldn't be -1 since the sides wouldn't be negative.)
gmatclubot
Re: The area of the trapezoid [#permalink]
01 Mar 2024, 14:35
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