Q22 of 99 Page 267

If the length of each side of an equilateral triangle is trippled. What percent of area will be increased of this triangle?

The area of an equilateral triangle of side a =


A=


Here A1 =


Now, if the side is tripled, the side it becomes 3a


the new area is


A=


A=


A =


⇒ A = 27 A1


The increase in percentage of the area of the equilateral triangle


=


=


= 26 × 100


= 2600


Hence the % increase in area of equilateral triangle is 2600 %


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