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Li Ping says a square with 3 inch sides has greater area than a parallelogram that is not a square but has sides that have the s
ame Length. Does Li Ping's statement make sense? Explain
1 answer:
Answer:
Li Ping's statement makes sense.
Step-by-step explanation:
The area of a square with side lengths a inches is given by, .
Now, the area of a parallelogram with equal sides a inches, which is not a square is given by, , where, h is the perpendicular distance between the opposite sides.
See the diagram attached.
Since a is the hypotenuse of as right triangle with height h, hence, a > h.
So,
Therefore, Li Ping's statement makes sense. (Answer)
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