Parallelogram +ľ

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

Find the area of the parallelogram.

Correct result:

S =  1672 cm2

Solution:

a=76 cm b=44 cm A=30 rad=30 π180 =30 3.1415926180 =0.5236=π/6 h=b sin(A)=44 sin(0.5236)=22 cm2 S=a h=76 22=1672 cm2a=76 \ \text{cm} \ \\ b=44 \ \text{cm} \ \\ A=30 ^\circ \rightarrow\ \text{rad}=30 ^\circ \cdot \ \dfrac{ \pi }{ 180 } \ =30 ^\circ \cdot \ \dfrac{ 3.1415926 }{ 180 } \ =0.5236=π/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

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