Respuesta:
[tex]39.57 cm^{2}[/tex]
Explicación paso a paso:
Rectángulo
b = [tex]\frac{3}{2}[/tex] = 1.5
Lados
a = 2
b = 1.5
c = ?
[tex]c=\sqrt{a^{2}+b^{2} } = c=\sqrt{2^{2}+1.5^{2} }=2.5[/tex]
6 + 2.5 = 8.5
6 + 3 + 1.5 = 10.5
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lado 1 = 10
lado 2 = 8.5
lado 3 = 10.5
P = 10 + 8.5 + 10.5 = 29
[tex]s = \frac{P}{2}=[/tex] [tex]\frac{29}{2}=14.5[/tex]
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}=[/tex] [tex]\sqrt{14.5(14.5-10)(14.5-8.5)(14.5-10.5)}[/tex]
[tex]\sqrt{14.5 x4.5 x 6 x 4}[/tex] [tex]\sqrt{1566}=39.57271787[/tex]
espero esté bien jaj lo intenté al menos .(
