The bases of the trapezoid are 6 and 10. the height is 4. find the area. 30 sq. units 32 sq. units 64 sq. units

 The answer is:  [B]:

                  →    " 32  sq.  units " .

      →  The area of the trapezoid is:  " 32 sq. units " .

Step-by-step explanation:

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

          A =  ½ * (b₁ + b₂) * h  ;

    in which:  

           " A " ;  is the "area" (for which we shall solve) ;

           " b₁ "  ;  is the "base length" (of "one of the bases") of the trapezoid;

            " b₂ " ;  is the "base length" (of the "other" base) of the trapezoid ;

            " h "  ;  is the "height" [perpendicular height] of the trapezoid ;

Now, let us plug in our "given values" into the equation/formula ;

    and calculate; to solve for the: area; "A" ;  of the "trapezoid" ;

     in "sq. units" ;

Given:

" b₁ = 6 " ;

" b₂ = 10 " ;

" h  = 4 " ;  

        →   A   =  ½ * (b₁ + b₂) * h   ;

        →         =   ½ * (6 + 10) * 4  ;

        →         =  ½ *  (16) * 4  ;  

        →         =    8  * 4  ;

        →         =   8  * 4  ;

        →   A    =    32  sq. units ;

→  The area of the trapezoid is:  " 32 sq. units ";  

            →  which is:  Answer choice:  [B]:  " 32 sq. units " .

Hope this is helpful to you!  

         Best wishes to you in your academic pursuits

                 — and within the "" community!

thus, the first answer choice, y = sec x, is the correct one