The parallelogram

The perimeter of the parallelogram is 79.5 m, and its shorter side is half the longer side. What is the length of each side of the parallelogram?

Final Answer:

a =  13.25 m
b =  26.5 m

Step-by-step explanation:

$$\begin{gathered} o=79.5\text{m} \\ 2(a+b)=o \\ a=b/2 \\ 2(a+b)=79.5 \\ 2\cdot (a+b)=79.5 \\ a=b/2 \\ 2a+2b=79.5 \\ 2a-b=0 \\ Row2-Row1\to Row2 \\ -3b=-79.5 \\ b=\frac{-79.5}{-3}=26.5 \\ a=\frac{79.5-2b}{2}=\frac{79.5-2\cdot 26.5}{2}=13.25 \\ a=\frac{53}{4}=13.25 \\ b=\frac{53}{2}=26.5 \end{gathered}$$

Try another example