A child is pulling a wagon down the sidewalk. For $5\mathrm{.}0$ m the wagon stays on the sidewalk and the child pulls with a horizontal force of $22$ N$.$ Then one wheel of the wagon goes off onto the grass so the child has to pull with a horizontal force of $38$ N at an angle of $12$ to the side for the next $3\mathrm{.}0$ m$.$ Finally the wagon gets back on the sidewalk so the child makes the rest of the trip, $8\mathrm{.}5$ m$,$ with a force of $22$ N$.$ How much total work did the child do on the wagon?