Quantitative Aptitude :: Area - Discussion
6 / 75
What is the percentage of increase in area of a triangle if its sides are doubled?
A300%
B200%
C100%
D250%
Show Explanation
In similar triangles, a ratio of areas is equal to a ratio of the square of corresponding sides.
Area 2/Area 1 = (side 2/side 1)²
When sides are doubled, the area of the new triangle will always be 4 times the original, the change in area will be 3 times. Hence the % change will always be 300% irrespective of the type of triangle.
Asked In ::
In similar triangles, a ratio of areas is equal to a ratio of the square of corresponding sides.
Area 2/Area 1 = (side 2/side 1)²
When sides are doubled, the area of the new triangle will always be 4 times the original, the change in area will be 3 times. Hence the % change will always be 300% irrespective of the type of triangle.
Read Full Answer
Report Error
Please Login First Click Here
Area of triangle with sides x,y,z=sqroot(S(S-x)(S-y)(S-z))
Where S=semi perimeter=(x y z)/2
Semi perimeter of triangle with sides 2x,2y,2z =x y z= 2S where S= (x y z)/2
Area of triangle with sides 2x,2y,2z
=Sqroot(2S(2S-2x)(2S-2y)(2S-2z))
= sqroot(16S(S-x)(S-y)(S-z))
=4 sqroot(S(S-x)(S-y)(S-z))
Therefore the area has quadrupled or increased by 300%
Read Full Answer
Report Error
Please Login First Click Here