Perimeter of rhombus

The area of the rhombus is 32 cm². One side measures 10 cm. The height on the other side measures 5 cm. What is the perimeter of this rhombus?

Final Answer:

o =  32.8 cm

Step-by-step explanation:

$$\begin{gathered} S=32{\text{cm}}^2 \\ a=10\text{cm} \\ {h}_2=5\text{cm} \\ S=a\cdot h_1=b\cdot h_2 \\ b=S/h_2=32/5=\frac{32}{5}=6.4\text{cm} \\ o=2\cdot (a+b)=2\cdot (10+6.4)=32.8\text{cm} \end{gathered}$$

Try another example