Question

An equilateral triangle has sides of length 25 cm. If the side of the triangle is increased by 30%, then find
a) the increased length of its side.
b) the percentage increased in it's perimeter.
c) the ratio of the new perimeter to the old perimeter
d) what fraction of the perimeter of the new triangle is perimeter of the previous triangle​

Answer 1

An equilateral triangle has sides of length 25 cm. If the side of the triangle is increased by 30%, then find
a) the increased length of its side.
b) the percentage increased in it's perimeter.
c) the ratio of the new perimeter to the old perimeter
d) what fraction of the perimeter of the new triangle is perimeter of the previous triangle

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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