Answer:
100+2w = 250
w = 75
Explanation:
Let us sketch a rectangle with the measurements given
the perimeter we see is
[tex]w+w+50+50[/tex][tex]=2w+100[/tex]We are told that the perimeter is 250; therefore,
[tex]2w+100=250[/tex]Subtracting 100 from both sides gives
[tex]2w=150[/tex]Finally, dividing both sides by 2 gives
[tex]w=\frac{150}{2}[/tex][tex]w=75[/tex]which is our answer!