Parallelogram +ľ

| AB | = 76cm, | BC | = 44cm, angle BAD = 30 °.

Find the area of the parallelogram.

Correct answer:

S =  1672 cm²

Step-by-step explanation:

$$\begin{gathered} a=76\text{ cm } \\ b=44\text{ cm } \\ A=30^{\circ }\to \text{ rad}=30^{\circ }\cdot {\displaystyle \frac{\pi }{180}}=30^{\circ }\cdot {\displaystyle \frac{3.1415926}{180}}=0.5236=\pi \mathrm{/}6 \\ h=b\cdot \sin (A)=44\cdot \sin (0.5236)=22{\text{cm}}^2 \\ S=a\cdot h=76\cdot 22=1672{\text{cm}}^2 \end{gathered}$$

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