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

• Paralleogram has diagonals bisecting ecah other.

`\\ \tt\hookrightarrow UW=UY`

`\\ \tt\hookrightarrow 2s-35=s`

`\\ \tt\hookrightarrow 2s-s=35`

`\\ \tt\hookrightarrow s=35`