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Andrew [12]
3 years ago
14

Help asap ill give brainliest

Mathematics
1 answer:
DaniilM [7]3 years ago
7 0

<u>Answer </u><u>:</u>

This figure consists of two shapes that are a rectangle and a square . We will first find the area of rectangle then the square then add them . Let's work on this together ,

  • Breadth of rectangle = 4 cm
  • Length of rectangle = 4 + 5 + 3
  • Length = 12 cm
  • Area of rectangle = 12 × 4
  • 48 cm²

Area of square ,

  • Side × Side
  • 5 × 5
  • 25 cm²

Total area of the figure ,

  • 48 + 25
  • 73 cm²
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The correct answer is:  [D]:  " 7.2 units" .
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Explanation:
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Use the Pythagorean theorem:

a² + b² = c² ;

in which:  "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle);  and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle;  We wish to solve for "c" ;
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6² + 4² = c² ;  Solve for "c" ;

↔ c² = 6² + 4² ; 

         = (6*6) + (4*4) ;
 
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        =  52 ;

    c² = 52 ;

Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ; 

  √(c²)  =  √52 ; 

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At this point, we know the 7² = 49 ;  8² = 64 ;  so, the answer is somewhere between "7" and "8" ; yet closer to "7" ;  so among the answer choices given; 

The correct answer is:  [D]:  " 7.2 units" .
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However, let use a calculator:

c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
   which corresponds to:  
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Answer choice:  [C]:  " 7.2 units" .
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