Question

Each side of a triangle is increased by 10 cm. If the ratio of the perimeter of the new triangle and the given triangle is increased by 5:4 ,find the perimeter of the given triangle.

Answer 1

Answer:

Let each side be x

perimeter of the triangle= 3x

New perimeter= 3x+30

therefore,

3x+30:3x=5:4

(3x+30)/3x=5/4

4(3x+30)=3x(5)

12x+120=15x

120=15x-12x

=3x

120/3=x

40=x

perimeter of given tringle=3x

3(40)

=120cm

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Answer 2

Suppose the original perimeter be k .

Now, Increasing each side by 10 means we increase the perimeter by 30.

Therefore, New perimeter = k + 30 .

Given, Ratio = 5 : 4 .

( k + 30 ) / k = 5 / 4

⇒ 4 k + 120 = 5 k

⇒ 120 = 5 k - 4 k

⇒ k = 120

Therefore, the required perimeter is 120 cm.