Respuesta :

  • L=x+4
  • B=x-9

[tex]\\ \sf\longmapsto Area=LB[/tex]

[tex]\\ \sf\longmapsto Area=(x+4)(x-9)[/tex]

[tex]\\ \sf\longmapsto Area=x(x-9)+4(x-9)[/tex]

[tex]\\ \sf\longmapsto Area=x^2-9x+4x-36[/tex]

[tex]\\ \sf\longmapsto Area=x^2-5x-36[/tex]

Step-by-step explanation:

Solution,

Given:-

Length=x+4

Width=x-9

Now,

By applying the formula for area of rectangle, we get

Area=length×width

Area=(x+4)(x-9)

Area=x(x-9)+4(x-9)

Area=x²-9x+4x-36

Area=x²-5x-36