Question

What is the length of XY

Answer 1

Answer:

XY = 7 units

Step-by-step explanation:

As per properties of isosceles trapezoid -

"Bases of the isosceles trapezoid are parallel and opposite sides of the trapezoid are congruent."

By this property,

XW = YZ

12 = y + 6

y = 12 - 6

y = 6

therefore, Side XY = y + 1

So XY = 6 + 1 = 7

XY = 7 units is the measure.

Answer 2

As we can see the given diagram represents an isosceles trapezoid.

So we can say from the properties of isosceles trapezoid.

$xw=yz$

$y+6=12\\ \\ y=12-6\\ \\ y=6$

As the required side XY has a length y+1, So we can write

$Length \ of \ XY=y+1=6+1\\ \\ \ Length \ of \ XY=7$