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

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.

Answer 2

None of the option is true

Explanation:

As per the given condition , the length of rectangle = s+6 and width =
`(s)/(2)`

Hence the Area will be
`A=(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=(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