Area of Mixed Shapes
Calculate the area of various composite shapes including rectangles, triangles, and circles.
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Area of Mixed Shapes
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Read each question carefully. Calculate the area of each composite shape shown. Show all your work.
1. Find the area of the shape below. (Hint: It's a rectangle with a triangle on top).
Show your work:
Area:
2. Calculate the area of the composite figure shown below (a semicircle on top of a square).
Show your work:
Area:
3. A rectangular garden measures 12 meters by 8 meters. A circular pond with a radius of 3 meters is in the center of the garden. The area of the garden NOT covered by the pond is square meters. (Use $\pi \approx 3.14$)
4. Which of the following is the correct formula for the area of a trapezoid?
$A = \frac{1}{2}bh$
$A = lw$
$A = \frac{1}{2}(b_1 + b_2)h$
$A = \pi r^2$
5. A complex shape is made of a rectangle (10 cm by 6 cm) attached to a triangle with a base of 10 cm and a height of 4 cm. What is the total area of this shape?