Two sides of a square are divided into fourths and another side of the square is trisected, as shown. A triangle is formed by connecting three of these points, as shown. What is the ratio of the area of the shaded triangle to the area of the square? Express your answer as a fraction.
Side of square = x
Base of triangle = x
Height of triangle = \(\frac{3x}{4}\)
Area of triangle = \(\frac{3x^2}{8}\)
Area of square = \(x^2\)
Ratio - \(\frac{3x^2}{8x^2}=\frac{3}{8}\)
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or you can just substitute integer numbers
Side of square = x
Base of triangle = x
Height of triangle = \(\frac{3x}{4}\)
Area of triangle = \(\frac{3x^2}{8}\)
Area of square = \(x^2\)
Ratio - \(\frac{3x^2}{8x^2}=\frac{3}{8}\)
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or you can just substitute integer numbers