Chapter 5.5, Problem 5PSA

Solution

To Calculate: The perimeter of parallelogram WSTV

The perimeter of parallelogram WSTVis $44$

Given information:

WSTV is a parallelogram.

  $WS=x+5$

  $WV=x+9$

  $VT=2x+1$

Formula used:

Here, we are using the formula:

Perimeter of parallelogram = sum of all sides

Calculation:

Here, VT = WS

(Opposite sides of a parallelogram are equal)

So, $x+5=2x+1$

  $x=4$

After putting the value of x in WS, WV, and VT we get

  $WS=9,WV=13,VT=9$ and $ST=13$

So, Perimeter of parallelogram = sum of all sides

➜ $13+13+9+9$

➜ $44$

Conclusion: Hence, the perimeter of parallelogram WSTVis $44$