Trapezoid ABCD is formed by T(-4,-1), U(-1,-1), v(-1,-4) and W(-6,-4). Determine the length of the diagonal WU in trapazoid TUVW. Round to the nearest tenth and show all of your work.
First, we need to plot the trapezoid on a coordinate plane to visualize it:
We can see that the diagonal WU is the line segment connecting points W and U. We can use the distance formula to find the length of this line segment:
distance = √[(x2 - x1)² + (y2 - y1)²]
Let's label the coordinates of W and U:
W = (-6, -4)
U = (-1, -1)
Plugging these values into the distance formula, we get:
distance = √[(-1 - (-6))² + (-1 - (-4))²]
distance = √(5² + 3²)
distance = √34
distance ≈ 5.8
Therefore, the length of diagonal WU is approximately 5.8 units.