Question

4. If each side of a triangle is increased by 4 cm, the ratio of the perimeters of the new triangle and the given triangle is 7:5. Find the perimeter of the given triangle. [Hint. Let the perimeter of given triangle be x cm. As each side is increased by 4 cm, so the perimeter is increased by (3 * 4) cm i.e. 12 cm. According to given information, x +12 /x=7/5]​

Answer 1

Answer:

30 cm

Step-by-step explanation:

Let the perimeter of original triangle be xcm

If each side of a triangle is increased by 4cm , then ,

The perimeter will be =x+4×3

=(x+12)cm

Now ,

Ratio of perimeter of new triangle and given triangle =7:5

x

x+12= 57

On cross multiplication , we get,

5(x+12)=7x

5x+60=7x

7x−5x=60

2x=60

x=

2

60

We get ,

x=30

Therefore , the perimeter of the given triangle is 30cm

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