The top of a square table is covered with four equal square tiles. if the side length of each tile is decreased by 50%, how many tiles of the new size would be needed to cover the same table?

top of a square table is covered with four equal square tiles

Now it says

the side length of each tile is decreased by 50%

It means if the four equal square tiles had side =2x

Now its x

It means if earlier area was 4x^2 not the area is x^2

It means we have to use 4 small tiles to make one large tile

and to make 4 large tiles , we need 4*4 = 16 small tiles.

16 tiles of the new size would be needed to cover the same table.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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