Question

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 . Which equation can be used to find the value of x?

Answer 1

We can use the equation $x=\frac{3}{4} y$ 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:

$\text { perimeter of a square }=4 \times \text { side }=4 x$

Perimeter of a equilateral triangle with side "y" is given as:

$\text { perimeter of a equilateral triangle }=3 \text { side }=3 y$

Given that perimeter of a square = perimeter of an equilateral triangle

$\begin{array}{l}{\rightarrow 4 x=3 y} \\\\ {\rightarrow x=\frac{3}{4} y}\end{array}$

Hence, we can use the equation $x=\frac{3}{4} y$ to find the length of the side of a square.