Question

What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 7 units and base 5 units. (5 points) 30 square units 35 square units 25 square units 20 square units

Answer 1

Answer:  The correct answer is: [B]:

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             →     " 35 square units " .

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                    {or; write as:  " 35 sq units " ; or;  " 35 units² " .}.

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Step-by-step explanation:

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Note that the area, "A" ;  of a "parallelogram" ;  

 →  {for which we wish to solve} ;

 →  can be calculated by using the formula:

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 →   " A  =  b  *  h "  ;

          →  { that is:  " Area  =  base   *  height " } ;

→  in which:  

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       →  "A"  is the "area"  [of the parallelogram] ;

              in:  [ "square units" ;  or:  "sq units" ; or:  "units² " ] ;

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       →  "b" is the "base length" (of one of the bases of the parallelogram) ;    

      {Note that both bases of a parallelogram have equal lengths.

        — Refer to "image attached" for additional information.}.

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       →  "h" is the "perpendicular height" [of the parallelogram] ;

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Note:  

• All rectangles are parallelograms, but not all parallelograms are rectangles.

• All squares are rectangles, but not all rectangles are squares.

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So, let us consider a "rectangle" that is not a square;

       →  but has 4 (four) right angles; as follows:

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       Rough sketch:

   

                base (b)

    ---------------------------

    |                           | height (h)

    |_____________ |

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The formula (equation) for the area, "A" ;  of a rectangle is:

               →    "  A = b * h " ;  

               →     { that is:  " Area = base * height " .} .  

→   Since a rectangle is a parallelogram;

               →   The formula (equation) for the area, "A" ;

for Any  parallelogram is the same :

               →    "  A = b * h " ;  

               →     { that is:  " Area = base * height " .} .  

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        →  However, it is important to remember that the formula/equation for the "area, "A" ;  for any parallelogram — [including All rectangles] — is actually:

        →  " A = b * h " ;   that is:  " Area  =  base  *  [perpendicular] height " .  

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Note that we are Not Given Any "image attached" that represents the: "parallelogram" —

      Note:  Refer to the text within "this very Brainly question being asked" ;  that is; the following text:

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"the parallelogram ABCD" that is "shown below" {sic} ; as stated within the question.

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Nonetheless:

We are given:

 h (height) = 7 units ;  And:

 b (base) = 5 units. ;

For our purposes, let us assume that the given "height, "h" = 7 units" ;

                       →  refers to the "perpendicular height " ;

Now, we can calculate the "Area; A" ; in "square units" ; as follows:

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       →    " A  =  b * h "  ;    Solve for: "A"  ;  

Plug in our given values for "b" and "h" ;  to solve for "A" ;

       →    " A   =  (5 units) * (7 units) " ;

                    =  5 * 7 * units * units " ;

             " A   =   35  units²  ;

                     or:   " 35 square units " ;

       →  which is:

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Answer choice:  [B]:  " 35 square units " .

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Note:  Refer to "image attached" ;  to refer to:  "perpendicular height " — as regards to many "traditional" types of " parallelograms " .

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Hope this helps!

     Best wishes to you in your academic pursuits

              — and within the "Brainly" community, as well!

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