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