The areas of the composite figures are:
1. 787.5 cm²
2. 545.9 m²
3. 215.2 ft²
4. 745.4 mm²
5. 996 in.²
How to Find the Area of a Composite Figure?
To find the area of a composite figure, find the area of each shape that the figure is composed of and add the areas together.
1. Area of figure 1 = area of trapezium + area of parallelogram = 1/2(a + b)h + bh
Area of figure 1 = 1/2(15 + 34)19 + (23)(14) = 465.5 + 322
Area of figure 1 = 787.5 cm²
2. Area of figure 2 = 2(area of semicircle) + area of rectangle = 2(1/2πr²) + lw = 2(1/2π(7²)) + (28)(14) = 545.9 m²
3. Area of figure 3 = area of the larger semicircle + area of the samller semicircle = 1/2πr² + 1/2πr² = 1/2π(11²) + 1/2π(4²) = 215.2 ft²
4. Area of figure 4 = area of the semicircle + area of the rectangle + area of triangle = 1/2πr² + lw + 1/2bh
Area of figure 4 = 1/2π(12.5²) + (25)(12.5) + 1/2(12.5)(30)
Area of figure 4 = 745.4 mm²
5. Base of the triangle = 2[√(37² - 35²)] = 24 in.
Area of figure 5 = area of the square + area of the triangle = s² + 1/2bh
Area of figure 5 = 24² + 1/2(24)(35)
Area of figure 5 = 996 in.²
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