A 9 Ft by 8 Ft Bookcase Is to Be

A 9 ft by 8 ft bookcase is to be built. It has horizontal shelves every foot. A support is to be notched in the shelves diagonally from one corner to the opposite corner. At what point should each of the shelves be notched? That is, find lengths A, B, C, D and E in the illustration. How long is the diagonal crosspiece? Round your answer to the nearest hundredth.

A) A = 1.3 ft, B = 2.7 ft, C = 4 ft, D = 5.3 ft,E = 6.7 ft, the crosspiece is 12 ft.
B) A = 1.5 ft, B = 3 ft, C = 4.5 ft, D = 6 ft,E = 7.5 ft, the crosspiece is 12.04 ft.
C) A = 1.5 ft, B = 3 ft, C = 5.5 ft, D = 5 ft,E = 7.5 ft, the crosspiece is 12.04 ft.
D) A = 1.33 ft, B = 2.67 ft, C = 4 ft, D = 5.33 ft,E = 6.67 ft, the crosspiece is 12.04 ft.
E) A = 1.5 ft, B = 3 ft, C = 4.5 ft, D = 6 ft,E = 6.5 ft, the crosspiece is 12 ft.

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