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The diagonal of the floor of a rectangular closet is 7 1/2 feet. The shorter side of the closet is 4 1/2feet. What is the area of the closet in square feet?

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1. 

The diagonal of the floor of a rectangular closet is 71-div-1by2feet. The shorter side of the closet is 41-div-1by2feet. What is the area of the closet in square feet?

[A]. 5 1/4
[B]. 13 1/2
[C]. 27
[D]. 37

Answer: Option C

Explanation:

Other side =√
1-sym-oparen-h1 15 1-sym-cparen-h1 2 - 1-sym-oparen-h1 9 1-sym-cparen-h1 2
2 2
ft
  =
√225 - 81
4 4
ft
  =
√144
4
ft
  = 6 ft.

 Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.

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