Question

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

Answer 1

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`