A composite figure is made up of a rectangle and a triangle. The rectangle is 12 cm long and 8 cm wide. The triangle shares the 12 cm edge of the rectangle as its base. The total area of the composite figure is 120 cm². Find the height of the triangle.
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Worked Solution
Step 1: Find the area of the rectangle.
Area = 12 × 8 = 96 cm²
Step 2: Find the area of the triangle.
Area of triangle = total area − area of rectangle
= 120 − 96 = 24 cm²
Step 3: Use the triangle area formula to find the height.
½ × 12 × h = 24
6 × h = 24
h = 24 ÷ 6 = 4 cm
Answer: 4 cm
Correct answer: 4 cm
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