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

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.