Respuesta :

Given:

[tex]\begin{gathered} Area=39mm^2 \\ height(h)=5.2mm \end{gathered}[/tex]

To Determine: The measure of each sides of the rhombus

Solution

The area of a rhombus is given as

[tex]\begin{gathered} A=b\times h \\ A=Area \\ b=any\text{ of the side length} \\ h=height \end{gathered}[/tex]

Substitute the given to calculate the length of the side

[tex]\begin{gathered} A=bh \\ b=\frac{A}{h} \\ b=\frac{39mm^2}{5.2mm} \\ b=7.5mm \end{gathered}[/tex]

Hence, the length of each side is 7.5mm