Question

the perimeter of square jklm is 48 units. what is the value of (x)?

(j \quad x + 3 \quad k)
(m \quad l)

6
9
12
15

Explanation:

Determine the side length of the square

Using the Properties of Rectangles knowledge point, we know that a square is a regular quadrilateral with four equal sides. Let \(s\) represent the side length of square \(JKLM\). The perimeter \(P\) of a square is given by:

$$P = 4s$$

Given that the perimeter is \(48\) units:

$$4s = 48$$

$$s = 12$$

Set up the equation for x

Using the Properties of Rectangles knowledge point, the side length \(JK\) is represented by the expression \(x + 3\). Since all sides of a square are equal, we equate this expression to the calculated side length:

$$x + 3 = 12$$

Solve for x

Using the Solving Linear Equations knowledge point

$$
LATEXBLOCK0
$$

Answer:

• (A) 6
• (B) 9 (Correct answer)
• (C) 12
• (D) 15