The area of the composite shape in the image given is calculated as: 316 yd²
How to Find the Area of a Composite Shape?
To find the area of a composite shape, find the area of each of the shape that makes up the figure, then add their areas together.
The area of the composite shape = area of big rectangle + area of small rectangle + area of big triangle + area of small triangle
Area of big rectangle = (length)(width) = (5 + 4)(8) = 72 yd²
Area of small rectangle = (length)(width) = (5)(4) = 20 yd²
Area of big triangle = 1/2(base)(height) = 1/2(12)(4+5+4+7) = 120 yd²
Area of small triangle = 1/2(base)(height) = 1/2(8+5)(16) = 104 yd²
The area of the composite shape = 72 + 20 + 120 + 104 = 316 yd²
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