All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #631 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
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
Possible Answers:
(a) and (b) are equal
(b) is the greater quantity
(a) is the greater quantity
It is impossible to determine which is greater from the information given
Correct answer:
(a) is the greater quantity
Explanation:
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.
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