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? s2 = (s + 6) s2 = (s)(s + 6) s2 = (6s) s2 = (s)(6s)

Answer 1

Answer:

None of the option is true

Step-by-step explanation:

As per the given condition , the length of rectangle = s+6 and width = $\frac{s}{2}$

Hence the Area will be $A=\frac{s}{2}*(s+6)$

This area is the same as that of Square, whose area was $s^{2}$

Hence the Area will be

$s^2=\frac{s}{2}*(s+6)$

$2s^2=s(s+6)\\2s^2=s^2+6s\\s^2-6s=0\\s(s-6)=0$

s=0 , s=6

Answer 2

I'm pretty sure it should be

s^2=(1/2s)(s+6)

because the width is half of (s) so none of those options are right.