Without refrigeration, ice can be maintained longer by keeping it insulated from heat in an underground building or room. One such room is shown below as a rectangular room, C W L D , insulated by being buried under dirt in the shape of an isosceles trapezoid, X C W Z . The dirt makes an angle of 45 ∘ at points X and Z , where L Z = D X = 3 x − 4 feet, C D = x + 4 feet and L D = 2 x + 2 feet. What is the total length of the base of the structure, X Z ? The total structure length, X Z , is feet.
