Question

what is the value of x?
3
4
6
8
(there is a rectangle with length labeled 18 and 10 + 2x, width labeled 10 and 2y + 4, and right angles at the corners)

Explanation:

Step1: Identify rectangle properties

In a rectangle, opposite sides are equal. So the length \( 18 \) should equal \( 10 + 2x \), and the width \( 10 \) should equal \( 2y + 4 \). We focus on the length equation for \( x \).

Step2: Set up the equation

Set \( 10 + 2x = 18 \).

Step3: Solve for \( x \)

Subtract \( 10 \) from both sides: \( 2x = 18 - 10 = 8 \).
Divide both sides by \( 2 \): \( x = \frac{8}{2} = 4 \).

Answer:

4