Problem 8 · 2019 Math Kangaroo
Medium
Geometry & Measurement
spatial-reasoning
The floor of a room is covered with equally big rectangular tiles (see picture). How long is the room?
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Answer: E — 12 m
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Hint 1 of 2
All the tiles are the same size, and the 1 m mark shows the short side of a tile.
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Hint 2 of 2
Figure out one tile's length from how short tiles stack against long ones, then add up tiles along the room's height.
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Approach: find one tile's size, then measure the room's length in tiles
- The 1 m label gives the short side of a tile; comparing how tiles fit shows each tile is 1 m by 3 m.
- Reading up the right side of the room, the tiles stack to give the room's full length.
- Adding those tile lengths gives 12 m.
- So the answer is E.
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