Respuesta :

Answer:

[tex] {x}^{2} + 11x + 30[/tex]

Step-by-step explanation:

Area is length x width

The length is

[tex](x + 6)[/tex]

The width is

[tex](x + 5)[/tex]

Multiply both using FOIL Method

[tex](x + 6)(x + 5)[/tex]

[tex] {x}^{2} [/tex]

[tex]6 \times x = 6x[/tex]

[tex]5 \times x = 5x[/tex]

[tex]6 \times 5 = 30[/tex]

Write in standform form

[tex] {x}^{2} + 6x + 5x + 30[/tex]

[tex] {x}^{2} + 11x + 30[/tex]