Question

Aisha wants to make two quilts, each with the same area. The first quilt will be square with sides s feet long. The second quilt will be a rectangle with a width that is half the length of a side of the square quilt and a length that is 6 feet longer than a side length of the square quilt.
Which quadratic equation can be used to find s, the side length of the square quilt?

Answer 1

Answer:

its A

Step-by-step explanation:

I just took the quiz on ed and got it right

Answer 2

Answer:

$\text{Quadratic Equation: }0.5s^2-3s=0$

$\text{Side length of square} = 6\text{ feet}$

Step-by-step explanation:

Aisha wants to make two quilts with same area one square and another rectangle.

Side of square = s

Area of square = s . s

A rectangle with a width that is half the length of a side of the square and a length that is 6 feet longer than a side length of the square quilt.

Width of rectangle = 0.5s

Length of rectangle = s+6

Area of rectangle = 0.5s . (s+6)

According to question: Area of square and rectangle are equal

Therefore, s x s = 0.5s . (s+6)

Now we simplify the equation

$s^2=0.5s^2+3s$

$0.5s^2-3s=0$

$s=0\text{ and } 6$

s=0 will ignore because side length of square can't be zero.

[tex}\text{Quadratic Equation: }0.5s^2-3s=0[/tex]

$\text{Side length of square} = 6\text{ feet}$