Question

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 same Length. Does Li Ping's statement make sense? Explain

Answer 1

Li Ping's statement makes sense.

Explanation:

The area of a square with side lengths a inches is given by,
`A_1 = a^(2)`.

Now, the area of a parallelogram with equal sides a inches, which is not a square is given by,
`A_2 = ah`, 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,
`A_1 > A_2`

Therefore, Li Ping's statement makes sense. (Answer)