Write an equation for this diagram, point s is (14z - 7), point u is 8z, and point t is 10z
Hint- opposite angles of an inscribed quadrilateral are supplementary

The formula for the perimeter of a rectangle is 

P=2l*2w
plug in the data we know
27.5=2(9)+2w
27.5=18+2w
subtract 18 from both sides
9.5=2w
divide both sides by 2
4.25=w

The width of the box is 4.25feet

Now we can solve for the area. The formula for the area of a rectangle is 
A=l*w
plug in the data we know
A=9*4.25
A=38.25ft²

Answer=38.25ft²