Question

Question #3a7b1

Answer 1

`"please take a look at the explanations below."`

Explanation:

• it is possible to solve your problem using many ways.(some of these has been shown below.)

• line segments a and b have the same slope(the line segment a is parallel to the line segment b)

`m_a=(5+11)/(-1+13)=16/12=4/3`

`m_b=(2+2)/(3-0)=4/3`

`"using trapezoid's area formula :"`

`"area=(a+b)/2*c`

`area=(20+5)/2*5=25/2*5=125/2=62.5 " units"`

• the trapezoid can be divided into two triangular regions and the area of the triangles can be summed.

• the red triangle's area:

`area (ADC)_("red") = 1/2 |2+0-65-0-26-11 |=1/2| -100|=50" units"`

`area (ABC)_("green") = 1/2 |-2-6+0-15-0-2 |=1/2| -25|=12.5" units"`

`area (ADC) +area (ABC) =50+12.5=62.5" units"`