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Archy [21]
2 years ago
11

Cruz's Frame Shop makes a mat by removing out the inside of a rectangular mat board. Use the measurements from the diagram to fi

nd the area of the mat for the frame. (area of the shaded region). Do not use units

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
4 0

Answer:

  2x -16

Step-by-step explanation:

The area of each rectangle is the product of its length and width. The shaded area is the difference between the areas of the outside rectangle and the inside rectangle.

  shaded area = (2x -1)(x +6) -(2x +5)(x +2)

  = (2x^2 +11x -6) -(2x^2 +9x +10)

  = (2 -2)x^2 +(11 -9)x +(-6 -10)

  = 2x -16 . . . . . area of the shaded region

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To calculate for the perimeter of the garden, we have to solve for the measures of each of the sides of the four-sided polygon. That is calculated by getting the distances between consecutive points. 

The equation for the distance is,
         
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