If the sides of an equilateral triangle are increased by 20%, 30% and 50% respectively to form a new triangle, what is the percentage increase in the perimeter of the equilateral triangle?
Answers
It is your answer here
Let each side of the equilateral triangle be x cm.
Then, after increase the three sides are (x+
100
20
x), (x+
100
30
x) and (x+
100
50
x)
i.e. x+0.2x,x+0.3x and x+0.5x
i.e. 1.2x,1.3x and 1.5x
∴ Original perimeter =3x
Increased perimeter =1.2x+1.3x+1.5x=4x
% Increase in perimeter =
Original perimeter
Increase in perimeter
×100=(
3x
4x−3x
)×100=
3
100
=33
31 %
I hope it helps you
if you like my answer please follow me on brainly and please mark my answer as brainlist
It is your answer here
Let each side of the equilateral triangle be x cm.
Then, after increase the three sides are (x+
100
20
x), (x+
100
30
x) and (x+
100
50
x)
i.e. x+0.2x,x+0.3x and x+0.5x
i.e. 1.2x,1.3x and 1.5x
∴ Original perimeter =3x
Increased perimeter =1.2x+1.3x+1.5x=4x
% Increase in perimeter =
Original perimeter
Increase in perimeter
×100=(
3x
4x−3x
)×100=
3
100
=33
31 %
I hope it helps you
if you like my answer please follow me on brainly and please mark my answer as brainlist