Respuesta :

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