If each side of a triangle is doubled, then find percentage increase in its area.

Given: Each side is doubled

To Find: Percentage change in the area.

Concept Used:

If sides of a triangle are a, b, and c, then area of a triangle is given by:

Where s = semiperimeter of the triangle

Assumption: Let the sides of the triangle be a, b, and c

Explanation:

Original Area,

As the sides are doubled, new sides are 2a, 2b, and 2c.

s’ = a + b + c

s’ = 2s

New Area = 4 times Original Area

Change in Area = New Area – Original Area

Change in Area = 3 times Original Area

%age change in area = 300 %

Hence, the percentage change in area is 300%.