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5 August, 16:00

A rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the height of the rhombus.

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  1. 5 August, 16:20
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    Answer: The area of the rhombus is 9.6 cm.

    To start, we can find the area of the square. 6 x 6 = 36 cm^2

    Since the area of the rhombus is 4/5 of the area of the square, we multiply 36 by 0.8 = 28.8 cm^2 is the area of the rhombus.

    Now, use the area formula for a rhombus to find the height of the rhombus.

    A = 0.5bh

    28.8 = 0.5 (6) h

    9.6 = h
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