ISEE Upper Level Quantitative : How to find the area of a parallelogram
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Example Questions
Example Question #1 : Parallelograms
In the above parallelogram, 
(A) The area of the parallelogram
(B) 120 square inches
(B) is greater
It is impossible to determine which is greater from the information given
(A) and (B) are equal
(A) is greater
(B) is greater
Since 
The height of the parallelogram must be less than its sidelength of 8 inches.
The area of the parallelogram is the product of the base and the height - which is
Therefore,
(B) is greater.
Example Question #1 : How To Find The Area Of A Parallelogram
Parallelogram A is below:
Parallelogram B is below:
Note: These figures are NOT drawn to scale.
Refer to the parallelograms above. Which is the greater quantity?
(A) The area of parallelogram A
(B) The area of parallelogram B
It is impossible to determine which is greater from the information given
(B) is greater
(A) is greater
(A) and (B) are equal
(A) and (B) are equal
The area of a parallelogram is the product of its height and its base; its slant length is irrelevant. Both parallelograms have the same height (8 inches) and the same base (1 foot, or 12 inches), so they have the same areas.
Example Question #1 : Parallelograms
Figure NOT drawn to scale
The above figure shows Rhombus 
Give the area of Rhombus 
A rhombus, by definition, has four sides of equal length. Therefore, 
We will assign 
Also, both 
The figure, with the lengths, is below.
Rectangle 
The area of the entire Rhombus 
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