Find the area of the composite figure.
(1 point)
Responses
15.275 ft
15.275 ft
15.275 ft^2
15.275 ft^2
11.7 ft
11.7 ft
11.7 ft^2
11.7 ft^2
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To find the area of a composite figure, we need to break it down into simpler shapes with known formulas. Let's break this down into two rectangles and a triangle.
Rectangle 1:
Length = 9 ft, Width = 1.7 ft
Area = Length x Width = 9 ft x 1.7 ft = 15.3 ft^2
Rectangle 2:
Length = 6 ft, Width = 1.7 ft
Area = Length x Width = 6 ft x 1.7 ft = 10.2 ft^2
Triangle:
Base = 3 ft, Height = 1.7 ft
Area = 0.5 x Base x Height = 0.5 x 3 ft x 1.7 ft = 2.55 ft^2
Total Area = Area of Rectangle 1 + Area of Rectangle 2 + Area of Triangle
Total Area = 15.3 ft^2 + 10.2 ft^2 + 2.55 ft^2 = 28.05 ft^2
Therefore, the area of the composite figure is 28.05 ft^2.