Question

An quadrilateral triangle has sides of length 25 CM if the side of triangle is increased by 30% then find what fraction of the perimeter of the new triangle is perimeter of previous triangle

Answer 1

Answer:

10/13

Step-by-step explanation:

Side of the *equilateral triangle is 25 cm.

Perimeter of equilateral triangle = 3a

                      = 3(25)

                      = 75 cm

If the each side is increased by 30%,  

     new side = 25 + (30% of 25)

                     = 25 + 0.3*25

                     = 32.5

∴ New perimeter = 3(32.5)

                             = 97.5

Required fraction = 75/97.5

                             = 750/975

                             = 10/13

Hence the previous perimeter is 10/13 th of the new perimeter.

Answer 2

Answer:

• Previous perimeter of triangle is 10/13 th of perimeter of new triangle.

Explanation:

It is given that, an equilateral triangle has side of length 25 cm, each side of triangle is increased by 30%.

We have to find that what fraction of the perimeter of the new triangle is perimeter of previous triangle.

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Firstly let's find the perimeter of given triangle. As we know that given triangle is equilateral triangle. So, its perimeter is given by;

• Perimeter = 3 × side

Putting all values we get,

➻ Perimeter = 3 × 25

➻ Perimeter = 75 cm

• Hence, perimeter of triangle is 75 cm.

Now, we know that each side is increases by 30% so the new side will be;

➻ New side = 25 + (30% of 25)

➻ New side =25 + (30/100 × 25)

➻ New side = 25 + (30/4 × 1)

➻ New side = 25 + 7.5

➻ New side = 32.5 cm

• Hence, new side of triangle is 32.5 cm.

Now, we have new side formed after increasing its side by 30% so now let's find its new perimeter by using same formula;

• Perimeter = 3 × side

Putting all values we get,

➻ New perimeter = 3 × 32.5

➻ New perimeter = 97.5 cm

• Hence, new perimeter of triangle is 97.5 cm.

Now, required fraction will be;

➻ Required fraction = (Previous perimeter)/(New perimeter)

➻ Required fraction = 75/97.5

➻ Required fraction = 10/13

• Hence, Previous perimeter of triangle is 10/13 th of perimeter of new triangle.

Know more:

• Perimeter of any figure is calculated by sum of its all sides
• Perimeter of square = 4 × side
• Perimeter of equilateral ∆ = 3 × side
• Perimeter of rhombus = 4 × side
• Perimeter of circle = 2πr
• Perimeter of rectangle = 2(l + b)

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