The figure below is made up of a rectangle and a triangle joined along one edge. The rectangle has a length of 12 cm and a width of 8 cm. The triangle shares the 12 cm edge of the rectangle as its base and has a perpendicular height of 5 cm. What is the total area of the composite figure?
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Worked Solution
Step 1: Find the area of the rectangle.
Area of rectangle = length × width = 12 × 8 = 96 cm²
Step 2: Find the area of the triangle.
Area of triangle = ½ × base × height = ½ × 12 × 5 = 30 cm²
Step 3: Add both areas to find the total area of the composite figure.
Total area = 96 + 30 = 126 cm²
Answer: 126 cm²
Correct answer: 126 cm²
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