Question #3a7b1

1 Answer
Jan 17, 2018

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.)

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

ma=5+111+13=1612=43

mb=2+230=43

using trapezoid's area formula :

area=a+b2c

area=20+525=2525=1252=62.5 units

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

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  • the red triangle's area:

area(ADC)red=12|2+06502611|=12|100|=50 units

area(ABC)green=12|26+01502|=12|25|=12.5 units

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