Hello there!
To start, the area of a rectangle is found by multiplying together its length and width.
In this case, the length is 1/2 and the width is 3/10, so you can represent the area using this expression:
[tex] \frac{1}{2} [/tex]×[tex] \frac{3}{10} [/tex]
Now, multiply straight across, the numerator times the numerator over the denominator times the denominator.
This would result in your final answer, [tex] \frac{3}{20} [/tex].
Therefore, the area of the rectangular door mat would be [tex] \frac{3}{20} [/tex] meters squared.