Question

If the sides of an equilateral triangle are increased by 20%, 30% and 50% respectively to form anew triangle, what is the percentage increase in the perimeter of the equilateral triangle?​

Answer 1

Answer:

it all sides are Equal by 20 30 And

Answer 2

33.33 %

Step-by-step explanation:

$let \: each \: side \: = \: a \\original \: p = 3a \\ new \: sides \: are \: (120\% \times a) \: (130\% \times a) \: (150\% \times a) \: \\ = > \frac{6}{5} a \: \: \: \frac{13}{10} a \ \: \: \frac{3}{2} a \\ new \: p = \frac{6}{5} a + \frac{13}{10} a + \frac{3}{2} a \\ = \frac{12a + 13a + 15a}{10} \\ = \frac{40a}{10} \\ = 4a \\ \% \: increase \: in \: p \: = \: \frac{4a - 3a}{3a} \times 100\% \\ = \frac{a}{3a} \times 100\% \\ = 33.33\%$