contestada

A square is made using four rods of equal length joined end to end.
the perimeter of this square is 72 cm. Three of these rods are now joined end to end to make an equilateral triangle.
What is the perimeter of this equilateral triangle

Respuesta :

Answer:54 cm

Step-by-step explanation:

Given

Rods are joined to form a square

Perimeter of square is [tex]72\ cm[/tex]

Suppose a is the length of each rod so

Perimeter is [tex]4 a[/tex]

[tex]\therefore 4a=72[/tex]

[tex]\Rightarrow a=\frac{72}{4}[/tex]

[tex]\Rightarrow a=18\ cm[/tex]

Now if rods are joined to form a square then

Perimeter is the sum of sides

Perimeter of (equilateral)triangle[tex]=3a[/tex]

[tex]\Rightarrow =3\times 18[/tex]

[tex]\Rightarrow =54\ cm[/tex]

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