Answer :
Answer:
 (c)  512 = 2w²
Step-by-step explanation:
You want the quadratic equation that can be solved to find the width of a yard that is 512 square feet, and twice as long as wide.
Equation
The equation for the area is ...
 A = LW
Since the length is twice the width, we have ...
 L = 2W
Substituting that into the area formula gives ...
 A = (2W)·W = 2W²
We know the area is 512 square feet, so we can write ...
 512 = 2W² . . . . . . . matches choice C