$(7)[3$ pts$]$ The initial dimensions of the plate are $w=2\mathrm{.}5$ inch by $t=0\mathrm{.}25$ inch by $L=12$ inch. After the load $P=2500lbs$ is applied, what is the final width, w $,$ of the plate? Take $E=10,000$ ksi and $v=0\mathrm{.}3.$