Question

Um terreno tem o formato da figura abaixo:
Considerando 3√=1,7, determine a área do terreno.

Answer 1

$\text{tg}~30^{\circ}=\dfrac{DE}{CE}$

$\dfrac{\sqrt{3}}{3}=\dfrac{60}{CE}$

$3CE=60\sqrt{3}$

$CE=20\sqrt{3}$

$S_{DEC}=\dfrac{DE\cdot CE}{2}$

$S_{DEC}=\dfrac{60\cdot20\sqrt{3}}{2}$

$S_{DEC}=600\sqrt{3}$.


$S_{ABED}=60^2$

$S_{ABED}=3600$


$S_{ABCD}=600\sqrt{3}+3600$

$S_{ABCD}=600\cdot1,7+3600$

$S_{ABCD}=1020+3600$

$S_{ABCD}=4620$