We can use the equation [tex]x=\frac{3}{4} y[/tex] to find the length of the side of a square.
Solution:
Given that, the perimeter of a square is equal to the perimeter of an equilateral triangle.
The length of a side of the square is given by "x"
And the length of a side of the equilateral triangle is given by "y"
Finding the equation to determine value of "x"
The perimeter of a square with side "x" is given as:
[tex]\text { perimeter of a square }=4 \times \text { side }=4 x[/tex]
Perimeter of a equilateral triangle with side "y" is given as:
[tex]\text { perimeter of a equilateral triangle }=3 \text { side }=3 y[/tex]
Given that perimeter of a square = perimeter of an equilateral triangle
[tex]\begin{array}{l}{\rightarrow 4 x=3 y} \\\\ {\rightarrow x=\frac{3}{4} y}\end{array}[/tex]
Hence, we can use the equation [tex]x=\frac{3}{4} y[/tex] to find the length of the side of a square.
