sagekram sagekram
  • 11-02-2018
  • Mathematics
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What is the area of the shaded region and how do I find it?

What is the area of the shaded region and how do I find it class=

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cdw2014
cdw2014 cdw2014
  • 11-02-2018
We know the area of a rectangle is length times width, and the area of a triangle is one-half base times height. So to find the area of the shaded area, we need to subtract the area of the rectangle from the area of the triangle.

[tex] \frac{1}{2} (2x+5)(x+6) - x(x+1) [/tex]

[tex] \frac{2x^2+12x+5x+30}{2} -x^2-x[/tex]

[tex]x^2 + \frac{17x}{2} + 15 - x^2 - x[/tex]

Answer: [tex] \frac{15x}{2} + 15 [/tex]


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