To find the length of WY, we need to use the properties of rectangles and their diagonals.
Since WXYZ is a rectangle, the diagonals divide each other into two equal segments. Therefore, XV = WY and WV = YZ.
Given that XV = 2x and WV = 3x - 5, we can set up two equations:
XV = 2x
WY = 2x
WV = 3x - 5
YZ = 3x - 5
Since WY = XV and YZ = WV, we can set them equal to each other:
2x = 3x - 5
Solving for x:
2x + 5 = 3x
5 = x
Now that we have the value of x, we can find WY:
WY = 2(x)
WY = 2(5)
WY = 10
Therefore, WY = 10.
WXYZ is a rectangle. If XV = 2x and WV = 3x - 5, find WY.
Rectangle WXYZ, diagonals intersect at V
WXYZ is a rectangle. If XV = 2x and WV = 3x - 5, find WY.
Rectangle WXYZ, diagonals intersect at V
20
2
5
10
1 answer