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The square is cut along both diagonals, and one triangle is cut in half by a line from the centre to the middle of a side. What percentage of the square is shaded?

Class 7Comparing QuantitiesComparing Quantities
  • A40%
  • B62.5%
  • C37.5%
  • D30%

Step-by-Step Solution

The diagonals make 4 equal triangles, each of the square. Shaded . The 5 pieces are not equal, so is wrong.
Answer: C) 37.5%

Key idea: Three forms of the same number

Fractions, decimals, and percentages are three notations for the same idea. Convert freely:

- **Fraction → percentage**: multiply by 100. .
- **Percentage → fraction**: divide by 100 and simplify. .
- **Decimal → percentage**: shift two places right. 0.34 = 34%.
- **Percentage → decimal**: shift two places left. 8% = 0.08.

With practice, this becomes automatic and you can move between forms without thinking.

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