Question

If UW = 25 - 35 and UY = S, find the value

of s that makes quadrilateral VWXY a
parallelogram.

Answer 1

• s = 35 units

Explanation:

We know that:

• Rectangle = Parallelogram
• UW = 2s - 35
• UY = s
• UW = UY

Solution:

• 2s - 35 = s
• => 2s - s = 35
• => s = 35 units

Hence, the value of s must be 35 units so that the quadrilateral becomes a parallelogram.

Answer 2

• s = 35

Explanation:

Property of the parallelogram:

• Diagonals bisect each other.

It means:

• UX = UV (marked as equal)

and

• UW = UY

or

• 2s - 35 = s
• 2s - s = 35
• s = 35