# Question #341dd

##### 1 Answer

Sep 29, 2016

A square of side 4cm

#### Explanation:

The rectangle in question will have perimeter

The perimeter of a rectangle is

Combining equations, it is clear

It is also useful to note, then that

We know the area of the rectangle is

Substituting in our equation above, we can say:

Now we differentiate area with respect to the width and set the equation equal to

Solving, we see

Since

Thus, our solution is a square with