Respuesta :

The formula for any give rectangle is just that you multiply it's lenght by it's width, or as expressed by the equation;

[tex]\text{Area}=length\text{ x width}[/tex]

Since in the picture we are given a side of the rectangle measuring 4 inches, with it's length as unkown, we can only assume that the 4 inches there is the width therefore for a sqaure with an area of 34 square inches, we can express it as;

[tex]\begin{gathered} \text{Area = lenght x width , where Area = 34, and width = 4} \\ 34\text{ = lenght x 4 , then divide both sides by 4} \\ \frac{34}{4}=\frac{4}{4}(lenght)\text{ , and remember that }\frac{4}{4}\text{ = 1} \\ \text{lenght = }\frac{34}{4} \\ \text{lenght = 8.5} \end{gathered}[/tex]

Therefore the lenght of the rectangle in our question is 8.5 inches.