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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?

Verified Answer :

isyllus

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]

\(\text{Side length of square} = 6\text{ feet}\)

View image isyllus

Answer:

its A

Step-by-step explanation:

I just took the quiz on ed and got it right

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