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VTMO 2015 — Grade 7 — semifinal Question 11

VTMO · VTMO 2015 — Grade 7 — semifinal

Question 11

$A = 36 \,\mathrm{cm}^{2}$ square is partitioned into four congruent rectangles and an inner square as shown. The inner square perimeter equals one rectangle perimeter. Find each rectangle area; diagram not to scale.

Question illustration
  1. $6 \,\mathrm{cm}^{2}$
  2. $6.75 \,\mathrm{cm}^{2}$
  3. $7 \,\mathrm{cm}^{2}$
  4. $7.5 \,\mathrm{cm}^{2}$
  5. $7.75 \,\mathrm{cm}^{2}$