Question

If each side of a triangle is increased by 4 cm and the ratio of the perimeters of the new triangle and the
given triangle is 7:5, then find the perimeter of the given triangle.​

Answer 1

$\bigstar$ Solution :

$\bigstar$ Given :

• If each side of a triangle is increased by 4 cm and the ratio of the perimeters of the new triangle and the  given triangle is 7:5

$\bigstar$ To Find :

• Perimeter of the triangle .

$\bigstar$ Answer :

$\star$ Let the sides of the triangle be x , y , z .

$\star$ So the sides of the new triangle be x + 4 , y + 4 , z + 4.

$\star$ A/c to the given condition , ' Ratio of the perimeters of the new triangle and the  given triangle is 7:5 '

      $=>\frac{x+4+y+4+z+4}{x+y+z}=\frac{7}{5} \\\\=>\frac{x+y+z+12}{x+y+z}= \frac{7}{5}\\\\=>5(x+y+z+12)=7(x+y+z)\\\\=>5x+5y+5z+60=7x+7y+7z\\\\=>2x+2y+2z=60\\\\=>2(x+y+z)=60\\\\=>x+y+z=30$

$\star$ Hence the perimeter of the given triangle is 30 cm.

                                                                                                         

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