Answer:
A = 42 cm²
Step-by-step explanation:
The formula of an area of a parallelogram:
[tex]A=ah[/tex]
a - base
h - height
We have
[tex]a=11\dfrac{2}{3}\ cm,\ h=3\dfrac{3}{5}\ cm[/tex]
Convert the mixed numbers to the improper fractions:
[tex]11\dfrac{2}{3}=\dfrac{(11)(3)+2}{3}=\dfrac{35}{3}\\\\3\dfrac{3}{5}=\dfrac{(3)(5)+3}{5}=\dfrac{18}{5}[/tex]
Substitute:
[tex]A=\left(11\dfrac{2}{3}\right)\left(3\dfrac{3}{5}\right)=\left(\dfrac{35\!\!\!\!\!\diagup^7}{3\!\!\!\!\diagup_1}\right)\left(\dfrac{18\!\!\!\!\diagup^6}{5\!\!\!\!\diagup_1}\right)=(7)(6)=42\ cm^2[/tex]
