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No. A rhombus is a parallelogram with all equal sides. A parallelogram with all equal angles is a rectangle (which might also be a rhombus and a square).
The area of the rhombus is 40 square feet. To see why, Draw a rectangle encompassing the rhombus with sides parallel to the rhombus' diagonals. The rectangle has dimensions 10 ft X 8 ft = 80 square ft. Using the diagonals as dividers, each quarter of the rectangle is divided into 2 by one of the rhombus' sides. Thus the area of the rhombus is exactly half that of the encompassing rectangle.
A rhombus may be a square or just a rhombus (a rhombus is merely called a rhombus when there are no 90 degree angles).
Rhombus Not a SquareIn a square, the sides are perpendicular. In a rhombus, they aren't. A rhombus is never a square.
Because a rhombus is a shape and a kite is a object that is the shape of a rhombus. (only sometimes they are not a rhombus)