Ihaven’t done area in a while and now we have to do with algebra, can anyone me with this? !

  The area of the triangle is:

                         →    "  (4x²  +  6x)  cm³  " .

Step-by-step explanation:

The formula for the "Area, "A" ; of a triangle is:

 A = (1/2) * (baselength) * (perpendicular height) ;

            →  that is:

            →    A = (1/2) * b * h ;

The Area, "A" ; should be in "cubic units" ;  in our case, "cubic centimeters" ;

                                                                                       or;  " cm³ " .

 Given:  baselength:  "b" = " 4x "  ;

             perpendicular height:  " h = (2x + 3) " ;

 Plug in these values into the equation/formula:

           A = (1/2) * b * h ;

         →  A = (1/2) * (4x) * (2x + 3) ;

                →  (1/2) * 4x = 2x ;

         →  A = 2x (2x + 3)  cm³

         →  2x (2x + 3) = ?

 Note the "distributive property" of multiplication:

        →  a(b + c) = ab + ac .

As such:

         →  2x (2x + 3)  =   2x(2x) + (2x)(3) ;

                                 =    4x²  +  6x  ;  

The area of the triangle is:  " (4x² + 6x) cm³ " .

Hope this helps!

       Best wishes in your academic endeavors

                — and within the community!

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