Square - increased perimeter

How many times is the increased perimeter of the square, where its sides, increased by 150%?

If the perimeter of the square increases twice, how much % increases the area of the square?

Correct answer:

n =  2.5
p₂ =  300 %

Step-by-step explanation:

$$\begin{gathered} a_1=1 \\ r=150\%=\frac{150}{100}=\frac{3}{2}=1.5 \\ {a}_2=a_1+r\cdot a_1=1+1.5\cdot 1=\frac{5}{2}=2\frac{1}{2}=2.5 \\ {o}_1=4\cdot a_1=4\cdot 1=4 \\ {o}_2=4\cdot a_2=4\cdot 2.5=10 \\ n=o_2/o_1=10/4=2.5 \end{gathered}$$

$p_2=(2^2-1^2)/1^2\cdot 100=300\%$

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