Grade 12 Composite Area Worksheet
This worksheet focuses on calculating the area of composite figures, combining various geometric shapes at a Grade 12 level.
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Grade 12 Composite Area Worksheet
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Read each question carefully and calculate the area of the composite figures. Show all your work.
1. Find the area of the composite figure below, which consists of a semi-circle on top of a rectangle. The rectangle has a length of 10 cm and a width of 6 cm. The diameter of the semi-circle is equal to the width of the rectangle.
2. Calculate the area of the shaded region. The outer square has a side length of 12 meters, and the inner circle has a radius of 4 meters.
3. A composite shape is formed by joining a triangle with a base of 8 units and a height of 6 units, and a square with a side length of 5 units. If the base of the triangle is adjacent to one side of the square, the total area of this composite shape is square units.
4. A garden is shaped like a rectangle with dimensions 15 ft by 20 ft, and it has a triangular section attached to one of its 15 ft sides. The triangular section has a base of 15 ft and a height of 8 ft. What is the total area of the garden?
300 sq ft
360 sq ft
390 sq ft
420 sq ft
5. A circular swimming pool with a radius of 5 meters is surrounded by a square patio. The side length of the square patio is 12 meters. What is the area of the patio only (excluding the pool)? Use \(\pi \approx 3.14\).