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    Question

    The diagonal of the floor of a rectangular closet is 7.5

    ft. The shorter side of the closet is 4.5 ft. What is the area of the closet in square feet?
    A 37 ft² Correct Answer Incorrect Answer
    B 27 ft² Correct Answer Incorrect Answer
    C 5.25 ft² Correct Answer Incorrect Answer
    D 13.5 ft² Correct Answer Incorrect Answer

    Solution

    Diagonal of the floor D = 7.5 ft. Breadth of floor b = 4.5 ft. Let the length of the floor be x ft. As we know, D2 = x2 + b2 7.52 = x2 + 4.52 x2 = 56.25-20.25 x2 = 36 x = √36 = 6 ft. Length of the rectangle x = 6 ft. Area of the rectangle = x x b = 6 x 4.5 = 27 square ft.

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