Thanks, you two, bless you.
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
Answer:
Step-by-step explanation:
Answer:
y = 1(x - 5)² + 3
Step-by-step explanation:
The general formula of a quadratic equation is written as;
y = a(x − h)² + k
Where (h, k) are the x and y coordinates at the vertex.
Our vertex coordinate is (5, 3)
Thus;
y = a(x - 5)² + 3
Now,we are given another coordinate as (8, 12)
Thus;
12 = a(8 - 5)² + 3
12 = 9a + 3
9a = 12 - 3
9a = 9
a = 9/9
a = 1
Thus,the equation is;
y = 1(x - 5)² + 3