Sachiko is framing the border of a square picture. If she knows the area of the picture,

Question

how could Sachiko determine the amount of framing material she needs to buy?


Divide the area by 2, and then multiply the quotient by 4.



Set the area equal to x2, solve for x, and then multiply the value of x by 4.



Set the area equal to x3, and then solve for x.



Set the area equal to x2, solve for x, and then divide the value of x by 4.

Answer 1

To determine the amount of framing material Sachiko needs to buy, she first needs to find the side length of the square picture from its area.

The area \( A \) of a square is given by the formula:

\[ A = x^2 \]

where \( x \) is the length of one side of the square. To find \( x \), she can set the area equal to \( x^2 \) and solve for \( x \):

\[ x = \sqrt{A} \]

Once she has the length of a side \( x \), she can find the perimeter \( P \) of the square (which is the total length of framing material needed) using the formula for the perimeter of a square:

\[ P = 4x \]

So the correct option that describes this process is:

Set the area equal to \( x^2 \), solve for \( x \), and then multiply the value of \( x \) by 4.