EXPLANATION
Let's see the facts:
The area of the rectangle is equal to 42 squared units.
Length = 7 units
The perimeter is given by the following relationship:
[tex]\text{Perimeter}=2\cdot(\text{length}+\text{width)}[/tex]But i don't know the width, so i can find it by isolating from the area formula as follows:
[tex]\text{Area}=\text{length}\cdot\text{width}[/tex]Isolating the width:
[tex]\text{Width}=\frac{Area}{\text{length}}=\frac{42}{7}=6\text{ units}[/tex]So, width = 6 units
Finally the perimeter is:
[tex]\text{Perimeter = 2(7+6) = 2(13)=26 units}[/tex]The perimeter is 26 units