Respuesta :

The area of the given parallelogram is approximately

[tex]268cm^2[/tex]

Data given;

  • a = 13cm
  • b = 21cm
  • angle = 79 degrees

Area of a Parallelogram

The area of a parallelogram is the product of its two sides and the sine of the angle (if given).

So the formula of our parallelogram is

[tex]A = a.bsinx[/tex]

x = angle

Substitute the values and solve.

[tex]A = 13 * 21 * sin79\\A = 267.98cm^2\\A = 268cm^2[/tex]

From the calculation above, the area of the parallelogram is approximately [tex]268cm^2[/tex]

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