Answer:
85.2 m²
Step-by-step explanation:
Perhaps one of the easiest ways to decompose this composite figure is to consider it as a rectangle with a triangle removed from it.
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The vertical dimension of the missing triangle is 8-4 = 4 m. The horizontal dimension of the missing triangle is 11.4 -8.4 = 3 m. The overall rectangle, including the missing triangle, is 11.4 m wide and 8 m high.
The area of the figure is ...
area = rectangle area - triangle area
= (11.4 m)(8 m) -1/2(4 m)(3 m) = 91.2 m² -6 m² = 85.2 m²
The area of the shape is 85.2 square meters.
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Additional comment
The area of a rectangle is the product of its length and width:
A = LW
The area of a triangle is half the product of its base and height:
A = 1/2bh
