Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale.
file:///C:/Users/Usr1/Desktop/dlap%20(1).png
In the given diagram, we have a rectangle and a triangle inside it. Since opposite sides of a rectangle are equal in length, we know that:
$$6x + 6 = 16$$
Subtracting 6 from both sides, we get:
$$6x = 10$$
Dividing both sides by 6, we get:
$$x = \frac{5}{3} \approx 1.7$$
Therefore, the value of x is approximately 1.7 (rounded to the nearest tenth).