sandy wrote:
Attachment:
#GRepracticequestion In the figure above, ABCD is a parallelogram.jpg
In the figure above, ABCD is a parallelogram.
Quantity A |
Quantity B |
The area of ABCD |
24 |
The area of a parallelogram = (base)(height)We know the base has length
4...
...however, we don't know the height:
However, if we recognize that we have a RIGHT TRIANGLE hiding in our diagram...
... we can use the fact that the hypotenuse is always the longest side in a RIGHT TRIANGLE.
Since the hypotenuse in the above triangle has length 6, we know that the
other sides of the right triangle are LESS THAN 6This means
the triangle's height is less than 6It also means the height of the parallelogram is less than 6
We're now ready to answer the question.
The area of a parallelogram = (base)(height)= (
4)(
some number less than 6)
= some number less than 24
So, we get:
QUANTITY A: some number less than 24
QUANTITY B: 24
Answer: B
_________________
Brent Hanneson - founder of Greenlight Test Prep