Question

calcule o a área de cada quadrado.a)O lado mede 5 raiz quadrada 3 cm.b)o perímetro mede 18 cm.c)a diagonal mede 4 cm

Answer 1

a) $l = 5 \sqrt{3} cm$

$A_q = l^2 \\ A_q=(5 \sqrt{3} )^2 \\ A_q=25*3 \\ A_q = 75m^2$

b) $P = 18 cm$

$P_q = 4*l \\ 18=4*l \\ l = 4,5cm$

$A_q = l^2 \\ A_q = 4,5^2 \\ A_q = 20,25cm^2$

c) $D = 4cm$

$D = l \sqrt{2} \\ 4=l \sqrt{2} \\ l = \frac{4}{ \sqrt{2} } = \frac{4 \sqrt{2} }{2} = 2 \sqrt{2} cm$

$A_q = l^2 \\ A_q = (2 \sqrt{2}) ^2 \\ A_q = 4*2 \\ A_q = 8 cm^2$