Parallelogram 6385

The parallelogram is given by:
a, b is adjacent sides, va, vb - the respective heights to the individual sides. Calculate its side a, if b = 6cm, va = 3cm, vb = 4cm

Correct answer:

a =  8 cm

Step-by-step explanation:

$$\begin{gathered} b=6\text{cm} \\ {v}_1=3\text{cm} \\ {v}_2=4\text{cm} \\ S=a{v}_1=b{v}_2 \\ a{v}_1=b{v}_2 \\ a=b\cdot \frac{v_2}{v_1}=6\cdot \frac{4}{3}=\frac{6\cdot 4}{3}=\frac{24}{3}=8\text{cm} \end{gathered}$$

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