Question 698353
A rhombus has four congruent sides.
{{{s}}} = length of rhombus side (in cm).
Rhombus perimeter = {{{4s=20}}}cm --> {{{s=5}}}cm.
{{{drawing(300,195,-1,9,-1,5.5,
red(line(0,0,5,0)),red(line(5,0,8,4.8)),
red(line(3,4.8,8,4.8)),red(line(0,0,3,4.8)),
arrow(4,2,4,0),arrow(4,2.7,4,4.8),
locate(3.9,2.6,h),locate(2.4,-0.1,5)
)}}} As for all parallelograms {{{area=base*height}}} , so
{{{area=5h=24}}} square cm --> {{{h=24/5=highlight(4.8)}}}cm