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2011 Math Kangaroo

Problem 6

Problem 6 · 2011 Math Kangaroo Medium
Geometry & Measurement areadivision

A rectangle with area 360 cm² is laid out with square tiles. The rectangle is 24 cm long and 5 tiles wide. How big is the area of one tile, in cm²?

Figure for Math Kangaroo 2011 Problem 6
Show answer
Answer: C — 9
Show hints
Hint 1 of 2
First find the rectangle's width from its area and length.
Still stuck? Show hint 2 →
Hint 2 of 2
Then split that width across the 5 tiles to get one tile's side.
Show solution
Approach: back out the tile side, then square it
  1. The rectangle's width = area ÷ length = 360 ÷ 24 = 15 cm.
  2. It is 5 tiles wide, so each tile has side 15 ÷ 5 = 3 cm.
  3. One tile's area = 3 × 3 = 9 cm².
  4. So the answer is 9, choice (C).
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