Question

if lenght of each side of an equilaeral triangle is quadrupled, whar percentage of area will be increased

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Answer 1

Answer:

here is ur answer 800%

Step-by-step explanation:

Let the initial side be a units

Area = √ 3 a^ 2/4  sq. units

Now, side is tripled

New side, a  ′ =3a

New area = √ 3  (3a)^2/4  

                =9×  √3  a^2/4  

               =9×(initial area)

Increase in area =9× initial area - initial area =8× initial area

%increase=  increase/initial area  ×100

                   =  8×initial area/initial area ×100

                   =800 %