Question

determine el area de cada rectangulo​

Answer 1

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. :))

Answer 2

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. :))