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72= 2 L + 2 ( )
72 = 2L + 6+ L
72 - 6 = 3 L
66 = 3 L
= L
22 = L
AHORA COMPROBAMOS
22 + 22 + 2 ( 22/2 + 3 ) = 72 cm
22+ 22+ 2 (11+3) = 72 cm
44 + 2 (14) = 72 cm
44+ 28 = 72 cm
72 cm = 72 cm SÍ CUMPLE
LAS DIMENSIONES DEL RECTANGULO SON
LA BASE ES L/2 + 3 =
22/2 + 3
11 + 3 = 14 cm
y L = 22 cm
ENTONCES SERÍA
BASE = 14 cm
ALTURA = 22 cm
y=altura
2x+2y=72 simplificando x+y=36
x-3=y.............2(x-3)=y................2x-6=y
2
hacemos sustitucion:
x+y=36
x+2x-6=36
3x-6=36
3x=36+6
3x=42
x=42/3
x=14
si x=14
x+y=36
14+y=36
y=36-14
y=22
base mide 14 cm altura mide 22cm