Question

The base of a triangle is increased by 30% length and height is kept the same. By what percentage will the area of the triangle increase?

Answer 1

Answer:

55.5 %

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Answer 2

Given,

Increase in Triangle’s Base Length = 30%

To find,

Percentage increase in Triangle’s Area

Solution,

We know that the Area of a Triangle is represented as “(base) x (height) / 2”

Let us assume the length of the base of the triangle as “b” and Height as “h”.

So, the initial area of the triangle would be (b x h) /2

Increase in triangle’s base length = 30%

That is, new base length = (b + 30/100 x b) = b (1 + 30/100)

Therefore, new area = (b (1 + 30/100) x h)/2 = (1 + 30/100) x (b x h) / 2

Hence, the increase in area = 30%.