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)

Option 1 -

Step-by-step explanation:

Given : 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.

To find : Which quadratic equation can be used to find s, the side length of the square quilt?

Solution :

The first quilt will be square,

Let the side of square be s

The area of the square is

The second quilt will be a rectangle,

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.

Width of the rectangle =

Length of the rectangle = s+6

Area of the rectangle is

According to question,

Area of square and rectangle are equal,

So,

Therefore, Option 1 is correct.

The required equation is

could you reply to this with the question so i can ?