If wy is congruent to xy, then from w to y is equal to the distance between x and y. According to the figure, both distances are 3m-4 each. Therefore the perimeter is the sum of the three sides, namely:
[tex]p = m + (3m-4) + (3m-4)=76in[/tex]
Solving for m:
[tex]m + (3m-4) + (3m-4)=76[/tex]
[tex]7m-8=76[/tex]
[tex]7m=84[/tex]
[tex]m=12[/tex]
Finally:
wx is the distance [tex]m=12in[/tex]
