Question

Halqla una expresión para el area del trapecio de bases 2x+4 y 6x+9 y altura 10x+8

Answer 1

El area de un trapecio es:

Area = [(Base Mayor + Base menor)/2]xAltura

Base Mayor = 6X + 9

Base Menor = 2X + 4

Altura = 10X + 8

Base Mayor + Base Menor = 6X + 9 + 2X + 4 = 8X + 13

(Base Mayor + Base menor)/2 = (8X + 13)/2 = 4X + 6.5


[(Base Mayor + Base menor)/2]xAltura

(4X + 6.5)(10X + 8) = (4X)(10X) + (4X)(8) + (6.5)(10X) + (6.5)(8)

= 40X² + 32X + 65X + 52

= 40X² + 97X + 52

Expresion = 40X² + 97X + 52