Respuesta :

We are given

length of rectangle is 4x-3

width of rectangle is 6x+9

we know that

Area of rectangle = length of rectangle*width of rectangle

so, we can plug value

and we get

[tex] Area=(4x-3)*(6x+9) [/tex]

now, we can distribute it

[tex] Area=4x*6x+4x*9-3*6x-3*9 [/tex]

now, we can simplify it

[tex] Area=24x^2+36x-18x-27 [/tex]

[tex] Area=24x^2+18x-27 [/tex]...............Answer

Area of the rectangle is 24x²+18x-27