04.- Halla el área de un rombo, sabiendo que su perímetro es 60 cm y su diagonal mayor mide 24 cm. (no olvidar; A = D.d/2)
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Respuesta:
P = 4 L (D/2)² + (d/2)² = L²
P = 60 cm (d/2)² = L² - (D/2)² ...... D=24 cm
4 L = 60 cm (d/2)² = 15² - (24/2)²
L = 60 / 4 cm (d/2)²= 225 - (12)²
L= 15 cm (d/2)² = 225 - 144
d/2 =√81
d/2 = 9
d = 2(9)
d = 18
Área del Rombo = D*d / 2
= 24 cm * 18 cm / 2
= 432 cm² /2
= 216 cm²
Explicación paso a paso: