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? s^2 =(1/2s) (s + 6) s^2 = (s)(s + 6) s^2 =(1/2s) (6s) s^2 = (s)(6s)
Accepted Solution
A:
Sides of a square shape = S
Then, Area (A) = S^2
Width of rectangular shape = S/2 Length of rectangular shape = S+6
Then, Area (A) = (1/2S)(S+6)
The two area are equal. Therefore, S^2 = (1/2S)(S+6)
The first option is the correct quadratic equation to solve for S.