determine el area de cada rectangulo
Respuestas a la pregunta
Respuesta:
Rectángulo 1: A = 21x² + 126/5*x - 93/5*xy + 18y - 24y²
Rectángulo 2: A = 18/15*m² + 3mn + 2m - 9/5*mn² - 3n² - 9/2*n³
Explicación paso a paso:
Rectángulo 1:
A = b*h donde: b = base y h = altura
b = (21/5*x + 3y)
h = (5x - 8y +6)
Resolviendo:
A = (21/5*x + 3y)(5x - 8y +6)
A = (21/5*x)(5x) - (21/5*x)(8y) + (21/5*x)(6) + (3y)(5x) - (3y)(8y) + (3y)(6)
A = 21x² - 168/5*xy + 126/5*x + 15xy - 24y² + 18y
A = 21x² - (168/5*xy - 15xy) - 24y² + 126/5*x + 18y
A = 21x² + 126/5*x - 93/5*xy + 18y - 24y²
Rectángulo 2:
A = b*h donde: b = base y h = altura
b = (3,6m + 9n +6) ⇒ b = (18/5*m + 9n + 6)
h = (1/3*m - 1/2*n²)
Resolviendo:
A = (18/5*m + 9n + 6)(1/3*m - 1/2*n²)
A = (18/5*m)(1/3*m) - (18/5*m)(1/2*n²) + (9n)(1/3*m) - (9n)(1/2*n²) + (6)(1/3*m) - (6) (1/2*n²)
A = 18/15*m² - 9/5*mn² + 3mn - 9/2*n³ + 2m - 3n²
A = 18/15*m² + 3mn + 2m - 9/5*mn² - 3n² - 9/2*n³
Espero haberte ayudado. :))
Respuesta:
Rectángulo 1: A = 21x² + 126/5*x - 93/5*xy + 18y - 24y²
Rectángulo 2: A = 18/15*m² + 3mn + 2m - 9/5*mn² - 3n² - 9/2*n³
Explicación paso a paso:
Rectángulo 1:
A = b*h donde: b = base y h = altura
b = (21/5*x + 3y)
h = (5x - 8y +6)
Resolviendo:
A = (21/5*x + 3y)(5x - 8y +6)
A = (21/5*x)(5x) - (21/5*x)(8y) + (21/5*x)(6) + (3y)(5x) - (3y)(8y) + (3y)(6)
A = 21x² - 168/5*xy + 126/5*x + 15xy - 24y² + 18y
A = 21x² - (168/5*xy - 15xy) - 24y² + 126/5*x + 18y
A = 21x² + 126/5*x - 93/5*xy + 18y - 24y²
Rectángulo 2:
A = b*h donde: b = base y h = altura
b = (3,6m + 9n +6) ⇒ b = (18/5*m + 9n + 6)
h = (1/3*m - 1/2*n²)
Resolviendo:
A = (18/5*m + 9n + 6)(1/3*m - 1/2*n²)
A = (18/5*m)(1/3*m) - (18/5*m)(1/2*n²) + (9n)(1/3*m) - (9n)(1/2*n²) + (6)(1/3*m) - (6) (1/2*n²)
A = 18/15*m² - 9/5*mn² + 3mn - 9/2*n³ + 2m - 3n²
A = 18/15*m² + 3mn + 2m - 9/5*mn² - 3n² - 9/2*n³
Espero haberte ayudado. :))