Question

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

B.

Explanation:

Let's let x represent the side length of the square.

Since the picture is a square, all the lengths are the same. Moreover, the area of the square is x times x or x squared. Thus:

`A=x^2`

The amount of framing Sachiko needs is represented by the perimeter of the square. The perimeter of a square is determined by the formula:

`P=4x`

Now, if Sachiko knows the area and she wants to find the perimeter, she can do the following:

First, the area is equal to x^2. So, she should first just find the length itself. So her first step should be to set the area equal to x^2 and then solve for x.

Then, when she has found her length, she just need to multiply it by 4 to get the perimeter or the amount of framing she needs.

Thus, the answer is choice B.

Answer 2

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

Explanation:

The area of the picture is given by

A = s^2 where s is the side length

Let the side length be x

A = x^2

Take the square root of each side

sqrt(A) = sqrt(x^2)

x = sqrt(A)

We want to find the perimeter since we are framing the border

P = 4s since the picture is a square

P = 4 * x