The adjacent sides of a parallelogram measure 11 cm and 5cm, and one angle measure 50 °6’. Find the area of the parallelogram

Question

asked Oct 18, 2020 220k views

1 Answer

Avpx · Answer 1 · 2020-10-22T03:32:04+0000

Answer:

42.5 square centimeters

Explanation:

The area of the parallelogram is

$A=a\cdot b\cdot \sin \alpha,$

where a and b are adjacent sides and
$\alpha$ is inckuded angle.

In your case,

$a=11\ cm\\ \\b=5\ cm\\ \\ \alpha=50^(\circ)6'$

Thus,

$A=11\cdot 5\cdot \sin 50^(\circ)6'\approx 42.5\ cm^2$