The area of the figure is 825 and its unit is units squared
How determine area of the composite figure and its unit?
The given figure is a trapezium. Area of trapezium(A) = 1/2(a+b)h
Considering the labelling on the image attached:
The distance h spans from -15 to 18. Thus h = 18 - (-15) = 18+15 = 33 units
The distance a spans from -15 to 6. Thus a = 6 - (-15) = 6 +15 = 21 units
The distance b span from -15 to 18. Thus b = 24 - (-15) = 18+15 = 39 units
Note: each square of the graph is 3. You can also get the distance by counting number of squares and then multiply by 3.
Now, Area(A) = 1/2(21+39) x 33
= 1/2(50) x 33
= 25 x 33 = 825 squared units
Therefore, the area of the composite figure is 825 and the unit is units squared
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