1. A rectangular room is 7 metres long and 4 metres wide. Carpet tiles are 50 centimetres square. How many tiles will be needed to carpet the whole room (1 metre = 100 centimetres)?Â
ans-112
ans-112
Hi ROHIT11111,
When posting GMAT questions, you should post the 5 answer choices with the question. Sometimes the 'design' of the answer choices can help you to avoid a long-winded 'math approach.' With just the prompt, we have no choice but to do that math. This is essentially a 'rate' question with a little bit of geometry thrown in.
We know the length and width of the room, so we know that it's area is (7)(4) = 28 square meters.
We're told that carpet tiles are 50cm x 50cm. We're asked how many tiles are needed to tile the entire room.
To start, we can 'convert' the room from square meters to square centimeters...
(7 meters)(4 meters) = (700 cm)(400 cm) = 280,000 square cm.
Each tile is (50cm)(50cm) = 2500 cm
We can now figure out how many tiles are needed...
280,000cm/2500cm = 2800/25 = 112 tiles
GMAT assassins aren't born, they're made,
Rich
