Question #3a7b1

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Answer 1 · 2018-01-17T08:27:33

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

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

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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.

enter image source here

#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"#