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17 December, 02:23

A customer wants rhombus-shaped tiles for his countertops. The height is 3 inches and the area of each tile is 21.6 in. 2. What is the length of each side of the tiles?

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  1. 17 December, 03:00
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    The length of each side of the tiles is 7.2 in

    Explanation:

    Given:

    Height of the tile, h = 3 in

    Area of each tile, A = 21.6 in²

    Length of each side, a = ?

    We know:

    A rhombus is a type of quadrilateral whose opposite sides are parallel and equal. Also, the opposite angles of a rhombus are equal and the diagonal intersect each other perpendicularly.

    To find the area of a rhombus when the measures of its height and side length are given, use the formula

    A = Base X height

    21.6 in² = a X 3 in

    a = 7.2 in

    Therefore, the length of each side of the tiles is 7.2 in
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