To determine the amount of framing material needed for a square picture when Sachiko knows the area, we need to find the perimeter of the square.
1. The area [tex]\( A \)[/tex] of a square is given by the formula [tex]\( A = x^2 \)[/tex], where [tex]\( x \)[/tex] is the side length of the square.
2. To find the side length [tex]\( x \)[/tex], we need to solve the equation [tex]\( x^2 = A \)[/tex].
3. Solving for [tex]\( x \)[/tex], we take the square root of both sides: [tex]\( x = \sqrt{A} \)[/tex].
4. Once we know the side length [tex]\( x \)[/tex], the perimeter [tex]\( P \)[/tex] of the square can be found using the formula [tex]\( P = 4x \)[/tex].
Therefore, to determine the amount of framing material, Sachiko should:
- Set the area equal to [tex]\( x^2 \)[/tex],
- Solve for [tex]\( x \)[/tex],
- And then multiply the value of [tex]\( x \)[/tex] by 4.
This corresponds to option (B). Therefore, the correct answer is [tex]\( \text{(B)} \)[/tex].
