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alisha [4.7K]
2 years ago
10

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?
Mathematics
1 answer:
mars1129 [50]2 years ago
3 0

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

<u>Solution:</u>

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"

<em><u>The perimeter of a square with side "x" is given as:</u></em>

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

<em><u>Perimeter of a equilateral triangle with side "y" is given as:</u></em>

\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.

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