The figure shows HALF of a symmetric design. The line of symmetry runs vertically along the LEFT edge of the figure. The half-design is made up of a 6 cm by 8 cm rectangle with a 4 cm by 4 cm square cut out from one corner. Find the area of the COMPLETE symmetric design.
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Worked Solution
Step 1: Find the area of the half-design.
Half = (6 × 8) − (4 × 4) = 48 − 16 = 32 cm².
Step 2: Reflect the half across the line of symmetry to complete the design. The complete design is two copies of the half joined along the symmetry line.
Step 3: Total area of the complete design.
Total = 2 × 32 = 64 cm².
Answer: 64 cm²
Correct answer: 64 cm²
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