Answer:
[tex]\huge \boxed{\mathrm{35.64 \ units^2 }}[/tex]
Step-by-step explanation:
The adjacent side lengths and an angle is given.
We need to find the height of the parallelogram.
A small right triangle is formed with an angle of 63 degrees and an hypotenuse of 5 units.
We can use trigonometric functions to solve for the height.
sin θ = opp/hyp
sin 63 = h/5
Multiplying both sides by 5.
h = 5 sin 63
h ≈ 4.45503262
Area of parallelogram = base × height
A = 8 × 4.45503262
A = 35.640261
