Parallelograms: by this smart lady in Arizona
The parallelogram shown in the figure below has a perimeter of and an area of . Find the measure of in degrees.
The answer is 34.8.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
"44 = 2(3x + 2) + 2(5x + 4) , solve for x
x = 2
height = area / base
= 64 / 14 = 32/7 cm
sin(T) = (32/7) / 8 = 32/56 = 4/7, T = arcsin(4/7) = 34.8 degrees"
(Dr Abdelkader Dendane, https://www.analyzemath.com/high school math/grade_10/geometry.html)