Question

the figure below is a rectangle. find the value of x. x =

Explanation:

Step1: Use property of rectangle diagonals

In a rectangle, the diagonals are equal and bisect each other. So, \(5x - 6=3x + 2\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides: \(5x-3x - 6=3x-3x + 2\), which simplifies to \(2x-6 = 2\).
Add \(6\) to both sides: \(2x-6 + 6=2 + 6\), so \(2x=8\).
Divide both sides by \(2\): \(x=\frac{8}{2}\).

Answer:

\(x = 4\)