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.

notsmart2.0 Feb 14, 2020

#1**+3 **

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

CalculatorUser Feb 14, 2020

#1**+3 **

Best Answer

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 - \(\frac{3x^2}{8x^2}=\frac{3}{8}\)

-------------------------------------------------

or you can just substitute integer numbers

CalculatorUser Feb 14, 2020