al8xander al8xander
  • 04-04-2022
  • Mathematics
contestada

Find the Area of the shaded part.

Find the Area of the shaded part class=

Respuesta :

hnori22003
hnori22003 hnori22003
  • 04-04-2022

To find the area of the shaded part we have to subtract the rectangle area from the triangle area :

[tex]s = \frac{1}{2} \times (8x + 2)(6x) - (x)(3x + 1) \\ [/tex]

[tex]s = \frac{1}{2} \times (48 {x}^{2} + 12x) - (3 {x}^{2} + x) \\ [/tex]

[tex]s = \frac{48}{2} {x}^{2} + \frac{12}{2} x - 3 {x}^{2} - x \\ [/tex]

[tex]s = 24 {x}^{2} + 6x - 3 {x}^{2} - x[/tex]

[tex]s = 24 {x}^{2} - 3 {x}^{2} + 6x - x[/tex]

[tex]s = 21 {x}^{2} + 5x[/tex]

And we're done

Have a great day ♡

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