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Tao Nan 2025 P6 Maths Prelim — Paper 2 Q17a Solution

Paper 2 · Q17a · 2 marks · Area and Perimeter

Question

Figure 1 shows three identical rectangles. The area of the shaded triangle is 256 cm^2. Find the difference in area between the shaded and unshaded parts.
Answer: 1024 $cm^2$

Worked solution

  1. Shaded triangle = $\frac{1}{6}$ of three rectangles. Unshaded = $\frac{5}{6}$. Difference = $\frac{5}{6} - \frac{1}{6} = \frac{4}{6}$ of three rectangles. Three rectangles = $6 \times 256 = 1536$. Difference = $\frac{4}{6} \times 1536 = 1024$ cm^2.

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