The formula for calculate the area of a rectangle is:
Where "l" is the length and "w" is the width,
According to the information given in the exercise:
Then, you can set up the following equation:
Simplify it:
Make it equal to zero:
Use the Quadratic formula to find the value of "w":
In this case:
Substituting values and evaluating, you get:
Choose the positive value. Then:
Substitute the width into the equation
And then evaluate, in order to find the length of the rectangle. This is:
The answer is: