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A construction worker is tasked with tiling two square rooms, room A and room B. Room B has side lengths that are double the side lengths of room A. The construction worker uses one box of tiles to complete the flooring of room A. How many boxes of tiles will they need to complete the flooring of room B?

Respuesta :

rspill6

Answer:

4 boxes of tiles.

Step-by-step explanation:

Both rooms are square, so each has equal sides.  Let's set a side to room A as x.  It's area would be x^2.  Room B has sides = 2x, so it's area would be (2x)^2 or 4x^2.  The ratio of the areas B/A = 4x^2/x^2.  B/A = 4.

Room B has 4 times the area of A.  If one box of tile completes Room A, Room B would need four times that amount, or 4 boxes.