The height lowered to one side of the sides of a parallelogram, the area of which is 96 cm2, is 3 times less than this side. Find this side and height.
Let X be the height of the parallelogram. The side to which the height is lowered 3X. The area of the parallelogram is calculated by the formula: S = a × h, where a is the side, and h is the height of the parallelogram drawn to it.
We write the equation:
96 = 3X × X
96 = 3X ^ 2
X ^ 2 = 96 ÷ 3
X ^ 2 = 32
X = 5.66 cm – height
5.66 × 3 = 16.98 cm – side of the parallelogram
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