Question

what is the value of \\(x\\)?

3
4
6
8

Explanation:

Identify the geometric properties of the figure

The given figure is a quadrilateral with four right angles, which makes it a rectangle. In any rectangle, opposite sides are equal in length.

Set up the equation for the horizontal sides

The top horizontal side has a length of \(18\).
The bottom horizontal side has a length represented by the expression \(10 + 2x\).
Since opposite sides of a rectangle are equal:

$$10 + 2x = 18$$

Solve the linear equation for x

Subtract \(10\) from both sides of the equation:

$$2x = 18 - 10$$

$$2x = 8$$

Divide both sides by \(2\):

$$x = 4$$

Answer:

• 3
• 4 (Correct answer)
• 6
• 8