Q. 44.4( 24 Votes )
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.
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
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%.
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