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Give an example of a number that can be expressed as a rectangle as well as a square. Show the arrangement also.
The numbers that can be expressed as a rectangle as well as a square:
- Given non-negative integers
m and n. m and , not necessarily distinct, - Rectangular numbers are numbers of the form$m\times n$. $m\times n$, more commonly written mn. and,
- Square numbers are of the form, $n\times n$
If $m = n$, then $mn = m^2 = n^2$. $mn = m^2 = n^2$, a square number.
For example $7^2 = 49$.
But if m not equal to n, then mn might be a rectangle.
For example, $2 \times 18$
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