Solving a <em>system of equations</em>, it is found that since the <u>quadratic equation has two positive roots</u>, they can be the values of the length and the width, and the design is possible.
The perimeter of a <u>rectangle of length l and width w</u> is given by:

The area is:

In this problem, perimeter of 63.5 m, hence:



Area of 225 m², hence:



Which is a quadratic equation with coefficients
.
Then:



Since the <u>quadratic equation has two positive roots</u>, they can be the values of the length and the width, and the design is possible.
A similar problem is given at brainly.com/question/10489198