Trapezoid - ISEE Middle Level Quantitative Reasoning
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Question
Note: Figure NOT drawn to scale
The above figure shows Square 
.
Which is the greater quantity?
(a) The area of Trapezoid 
(b) The area of Trapezoid 
Note: Figure NOT drawn to scale
The above figure shows Square
Which is the greater quantity?
(a) The area of Trapezoid
(b) The area of Trapezoid
Answer
The easiest way to answer the question is to locate 
on 
such that 
:
Trapezoids 
and 
have the same height, which is 
. Their bases, by construction, have the same lengths - 
and 
. Therefore, Trapezoids 
and 
have the same area.
Since , it follows that 
, and 
. It follows that Trapezoid 
is greater in area than Trapezoids 
and 
, and Trapezoid is less in area.
The easiest way to answer the question is to locate
Trapezoids
Since
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