Composite Area Challenge
A Grade 11 math worksheet focusing on calculating the composite area of various geometric figures, including problems involving circles, rectangles, and triangles.
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Composite Area Challenge
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Read each question carefully and calculate the composite area of the given figures. Show all your work and include appropriate units in your final answers. Use \( \pi \approx 3.14 \) for calculations involving circles.
1. Find the area of the figure below, which consists of a rectangle and a semicircle. The rectangle has a length of 10 cm and a width of 6 cm. The semicircle is attached to one of the 6 cm sides.
2. Calculate the area of the shaded region in the figure below. The outer shape is a square with side length 8 meters. Inside the square, there is a circle with a diameter equal to the side length of the square.
3. A path surrounds a rectangular garden. The garden is 15 feet long and 10 feet wide. The path is 2 feet wide all around the garden. Find the area of the path.
4. Which of the following formulas is used to calculate the area of a trapezoid?
\( A = s^2 \)
\( A = \frac{1}{2}bh \)
\( A = \frac{1}{2}(b_1 + b_2)h \)
\( A = \pi r^2 \)
5. The area of a composite figure is found by the areas of its simpler geometric shapes.
6. To find the area of a region with a hole, you would the area of the hole from the area of the outer shape.