Respuesta :
The shaded area is 34.66 sq. units.
Linear system
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
To find
The shaded area is shown in the graph.
How to find a shaded area?
A line y = mx + c
For dashed line, the slope (m) is given by
[tex]\rm m = \dfrac{y_{2} -y_{1} }{x_{2} -x_{1} } \\\\m = \dfrac{3-0}{1-0} \\\\m = 3[/tex]
And c = 0 because the line is passing through the origin.
so the equation is 3y = x
For x = -1 then y = -1/3
Then
The base and height of the triangle will be 16/3 and 4.
And the height of the trapezium and the sum of the parallel side are 4 and 12.
Then the shaded area will be
[tex]\rm Shaded\ area\ =\ area\ of\ trapezium\ +\ area\ of\ triangle\\\\Shaded\ area\ = \dfrac{1}{2} (sum\ of\ parallel\ sidess)* height +\dfrac{1}{2} base *height\\\\Shaded\ area\ = \dfrac{1}{2} *12*4 +\dfrac{1}{2} * \dfrac{16}{3} *4\\\\Shaded\ area\ = 34.66[/tex]
Thus, the shaded area is 34.66 sq. units.
More about the linear system link is given below.
https://brainly.com/question/20379472
