if length of each side of an eqilatetal tringal in equadrupled what percentage of area will be increased
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Step-by-step explanation:
Let the initial side be a units
Area =
3
4
a
2
sq. units
Now, side is tripled
New side, a
′
=3a
New area =
3
4
(3a)
2
=9×
3
4
a
2
=9×(initial area)
Increase in area =9× initial area - initial area =8× initial area
%increase=
initial area
increase
×100
=
initial area
8×initial area
×100
=800 %
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