Question

If each side of a triangle is doubled, the percentage increase in the area of triangle is ______.

Options

• 200%

• 300%

• 100%

• 400%

Answer 1

If each side of a triangle is doubled, the percentage increase in the area of triangle is 300%.

Explanation:

Doubling every side multiplies all linear dimensions by 2.

So, the area is multiplied by 2² = 4. 

The new area is 4 times the original.

So, the increase = 4A – A = 3A, which is a 300% increase.