Q:

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

Accepted Solution

A:
Answer:  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 "Brainly" community!_________________________________________________