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Re: The area of rectangular region ABCD [#permalink]
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Carcass wrote:

This question is a part of PowerPrep Question Collection



Attachment:
GRE - powerprep The area of rectangular region ABCD.jpg


Quantity A
Quantity B
The area of rectangular region ​ ABCD
The area of trapezoidal region ​ EFGH


A) Quantity A is greater.
B) Quandetermined fromr.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



Solution:



We need to determine whether the area of rectangular region ​ ABCD (Quantity A) is greater than the area of trapezoidal region ​ EFGH.

Let’s start with the area of the rectangle:

Area = length x width

Area = 8 x 3 = 24

Next we can determine the area of the trapezoid:

Area = (base 1 + base 2)/2 x height

Area = (5 + 7)/2 x 4 = 6 x 4 = 24

Quantity A equals Quantity B.

Answer: C
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