The area of a rectangle is equal to:
[tex]\text{Area = Width }\cdot\text{ length}[/tex]In this case, we know that the area is equal to 437 cm^2 and the width is 19 cm, so we can replace the values and get:
[tex]437cm^2=(19\operatorname{cm})\cdot(length)[/tex]So, we can solve for length dividing both sides by 19 cm as:
[tex]\begin{gathered} \frac{437cm^2}{19\text{ cm}}=\frac{(19\operatorname{cm})}{19\operatorname{cm}}\cdot(length) \\ 23\text{ cm = length} \end{gathered}[/tex]Therefore, the length of the rectangle is 23 cm
Answer: 23 cm